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## Titi, Edriss Saleh

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 Author ID: titi.edriss-saleh Published as: Titi, E. S.; Titi, Edriss; Titi, Edriss S.; Titi, Edriss Saleh External Links: MGP · Wikidata
 Documents Indexed: 220 Publications since 1985, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 5 single-authored 22 Cao, Chongsheng 18 Jolly, Michael S. 15 Foiaş, Ciprian Ilie 14 Constantin, Peter 13 Olson, Eric J. 12 Li, Jinkai 11 Kevrekidis, Ioannis George 11 Lunasin, Evelyn M. 10 Bardos, Claude Williams 10 Farhat, Aseel 9 Guo, Yanqiu 9 Jones, Don A. 7 Holm, Darryl D. 7 Ilyin, Alexei A. 6 Oliver, Marcel 5 Cao, Yanping 5 García-Archilla, Bosco 5 Levant, Boris 5 Linshiz, Jasmine S. 5 Novo, Julia 5 Nussenzveig Lopes, Helena Judith 4 Kalantarov, Varga K. 4 Larios, Adam 4 Lopes Filho, Milton da Costa 4 Martinez, Vincent R. 4 Mondaini, Cecilia F. 4 Wynne, Shannon 3 Artstein, Zvi 3 Chen, Shiyi 3 Doelman, Arjen 3 Doering, Charles R. 3 Duan, Jinqiao 3 Gibbon, John D. 3 Liu, Xin 3 Ly, Hung Van 3 Niu, Dongjuan 3 Rammaha, Mohammad A. 3 Sadigov, Tural 3 Seregin, Gregory A. 3 Wiedemann, Emil 2 Azouani, Abderrahim 2 Bessaih, Hakima 2 Biswas, Animikh 2 Chepyzhov, Vladimir V. 2 Cockburn, Bernardo 2 Friedlander, Susan Jean 2 Giga, Yoshikazu 2 Hieber, Matthias 2 Hittmeir, Sabine 2 Holmes, Philip J. 2 Ibrahim, Slim 2 Klein, Rupert 2 Kravchenko, Rostyslav V. 2 Kukavica, Igor 2 Kupferman, Raz 2 Kurien, Susan 2 Levermore, C. David 2 Lin, Quyuan 2 Margolin, Len G. 2 Mazzucato, Anna L. 2 Musslimani, Ziad H. 2 Ramos, Fabio Tozeto 2 Slemrod, Marshall 2 Trabelsi, Saber 2 Vishik, Marko Iosifovich 2 Xin, Zhouping 2 Zang, Aibin 2 Ziane, Mohammed 1 Abu-Saris, Raghib M. 1 Albanez, Débora A. F. 1 Altaf, M. Umer 1 Aubry, Nadine 1 Babin, Anatoli V. 1 Barcilon, Victor 1 Bellout, Hamid 1 Benachour, Said 1 Bennis, Anne-Claire 1 Benzi, Roberto 1 Biferale, Luca 1 Bishop, Alan Reginald 1 Bloch, Anthony M. 1 Bollerman, Peter 1 Brown, Harry S. 1 Cao, Yu 1 Castillo-Chavez, Carlos 1 Celik, Emine 1 Chernyshenko, Sergei I. 1 Cheskidov, Alexey 1 Chung, Yunro 1 Collet, Pierre 1 Devulder, Christophe 1 E, Weinan 1 Elaydi, Saber Nasr 1 Ettinger, Boris 1 Fefferman, Charles Louis 1 Ferrari, Andrew B. 1 Flandoli, Franco 1 Frisch, Uriel 1 Gebrael, T. 1 Gerard, Patrick ...and 65 more Co-Authors
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#### Serials

 19 Nonlinearity 11 Journal of Differential Equations 11 Physica D 11 Journal of Nonlinear Science 9 Communications in Mathematical Physics 8 Journal of Mathematical Physics 8 Journal of Dynamics and Differential Equations 7 Archive for Rational Mechanics and Analysis 7 SIAM Journal on Mathematical Analysis 6 Indiana University Mathematics Journal 6 SIAM Journal on Numerical Analysis 6 Journal of Mathematical Fluid Mechanics 5 Communications on Pure and Applied Mathematics 5 Journal of Statistical Physics 5 Numerical Functional Analysis and Optimization 5 Discrete and Continuous Dynamical Systems 5 Communications in Mathematical Sciences 5 Oberwolfach Reports 4 Journal of Mathematical Analysis and Applications 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Mathematics of Computation 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Applied Dynamical Systems 2 Russian Mathematical Surveys 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Theoretical and Computational Fluid Dynamics 2 Journal of Functional Analysis 2 Chinese Annals of Mathematics. Series B 2 Communications in Partial Differential Equations 2 Physics of Fluids 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Physics A: Mathematical and Theoretical 2 Evolution Equations and Control Theory 1 IMA Journal of Numerical Analysis 1 Physics Letters. A 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Sbornik: Mathematics 1 Annals of Mathematics. Second Series 1 Computational Geosciences 1 Physical Review Letters 1 Journal of Turbulence 1 Nonlinear Analysis. Real World Applications 1 Advanced Nonlinear Studies 1 Physical Review E. Third Series 1 Communications in Information and Systems 1 Multiscale Modeling & Simulation 1 Dynamics of Partial Differential Equations 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Geometric Mechanics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Pure and Applied Functional Analysis 1 Mathematics of Climate and Weather Forecasting
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#### Fields

 192 Partial differential equations (35-XX) 141 Fluid mechanics (76-XX) 46 Dynamical systems and ergodic theory (37-XX) 37 Numerical analysis (65-XX) 34 Geophysics (86-XX) 21 Ordinary differential equations (34-XX) 20 Systems theory; control (93-XX) 6 General and overarching topics; collections (00-XX) 6 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

199 Publications have been cited 4,984 times in 2,220 Documents Cited by Year
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Zbl 0995.35051
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
2002
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
2001
Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Zbl 0818.35085
Constantin, Peter; E, Weinan; Titi, Edriss S.
1994
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics. Zbl 1151.35074
Cao, Chongsheng; Titi, Edriss S.
2007
Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525
Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
1998
On a Leray-$$\alpha$$ model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
2005
Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053
Cao, Chongsheng; Titi, Edriss S.
2008
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
1999
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. Zbl 1127.35034
Cao, Yanping; Lunasin, Evelyn M.; Titi, Edriss S.
2006
Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051
Cao, Chongsheng; Titi, Edriss S.
2011
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
1999
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053
Foias, Ciprian; Sell, George R.; Titi, Edriss S.
1989
Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030
Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S.
1990
Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations. Zbl 0796.35128
Jones, Don A.; Titi, Edriss S.
1993
Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion. Zbl 1284.35343
Larios, Adam; Lunasin, Evelyn; Titi, Edriss S.
2013
Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078
Foias, Ciprian; Titi, Edriss S.
1991
Global attractors and determining modes for the 3D Navier-Stokes-Voight equations. Zbl 1178.37112
Kalantarov, Varga K.; Titi, Edriss S.
2009
On approximate inertial manifolds to the Navier-Stokes equations. Zbl 0723.35063
Titi, Edriss S.
1990
Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in $$\mathbb{R}^n$$. Zbl 0960.35081
Oliver, Marcel; Titi, Edriss S.
2000
Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082
Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S.
1994
Gevrey regularity for nonlinear analytic parabolic equations. Zbl 0907.35061
Ferrari, Andrew B.; Titi, Edriss S.
1998
Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080
Cao, Chongsheng; Holm, Darryl D.; Titi, Edriss S.
2004
Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model. Zbl 1035.37043
Cao, Chongsheng; Titi, Edriss S.
2003
A modified-Leray-$$\alpha$$ subgrid scale model of turbulence. Zbl 1106.35050
Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S.
2006
Analytical study of certain magnetohydrodynamic-$$\alpha$$ models. Zbl 1144.81378
Linshiz, Jasmine S.; Titi, Edriss S.
2007
Euler equations for incompressible ideal fluids. Zbl 1139.76010
Bardos, C.; Titi, E. S.
2007
Preserving symmetries in the proper orthogonal decomposition. Zbl 0774.65084
Aubry, Nadine; Lian, Wen-Yu; Titi, Edriss S.
1993
Determining finite volume elements for the 2D Navier-Stokes equations. Zbl 0778.35084
Jones, Don A.; Titi, Edriss S.
1992
The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom. Zbl 0928.35120
Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S.
1999
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
2014
Invariant helical subspaces for the Navier-Stokes equations. Zbl 0708.76044
Mahalov, A.; Titi, E. S.; Leibovich, S.
1990
Global existence theory for a generalized Ginzburg-Landau equation. Zbl 0783.35070
Duan, Jinqiao; Holmes, Philip; Titi, Edriss S.
1992
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Zbl 0808.35133
Duan, Jinqiao; Titi, Edriss S.; Holmes, Philip
1993
Postprocessing the Galerkin method: A novel approach to approximate inertial manifolds. Zbl 0914.65105
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S.
1998
On the regularization mechanism for the periodic Korteweg-de Vries equation. Zbl 1284.35365
Babin, Anatoli V.; Ilyin, Alexei A.; Titi, Edriss S.
2011
On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172
2010
Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations. Zbl 1023.76513
Doering, Charles R.; Titi, Edriss S.
1995
Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems. Zbl 0866.35091
Cockburn, Bernardo; Jones, Don A.; Titi, Edriss S.
1997
Global well-posedness of the 2D Boussinesq equations with vertical dissipation. Zbl 1336.35297
Li, Jinkai; Titi, Edriss S.
2016
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
2016
Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S.
2009
Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262
Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S.
2015
Continuous data assimilation with stochastically noisy data. Zbl 1308.35161
Bessaih, Hakima; Olson, Eric; Titi, Edriss S.
2015
Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048
Hayden, Kevin; Olson, Eric; Titi, Edriss S.
2011
An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations. Zbl 0930.76063
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S.
1999
Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053
Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S.
2015
Feedback control of nonlinear dissipative systems by finite determining parameters – a reaction-diffusion paradigm. Zbl 1304.35715
Azouani, Abderrahim; Titi, Edriss S.
2014
Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models. Zbl 1110.76011
Olson, Eric; Titi, Edriss S.
2007
On the number of determining nodes for the 2D Navier-Stokes equations. Zbl 0773.35050
Jones, Don A.; Titi, Edriss S.
1992
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
2013
Determining modes for continuous data assimilation in 2D turbulence. Zbl 1137.76402
Olson, Eric; Titi, Edriss S.
2003
On the convergence of solutions of the Leray-$$\alpha$$ model to the trajectory attractor of the 3D Navier-Stokes system. Zbl 1146.35071
Chepyzhov, Vladimir V.; Titi, Edriss S.; Vishik, Mark I.
2007
Global well-posedness for models of shallow water in a basin with a varying bottom. Zbl 0953.76011
Levermore, C. David; Oliver, Marcel; Titi, Edriss S.
1996
A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027
Gesho, Masakazu; Olson, Eric; Titi, Edriss S.
2016
Continuous data assimilation for the three-dimensional Navier-Stokes-$$\alpha$$ model. Zbl 1344.35078
Albanez, Débora A. F.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.
2016
On the rate of convergence of the nonlinear Galerkin methods. Zbl 0783.65053
Devulder, Christophe; Marion, Martine; Titi, Edriss S.
1993
Dissipativity of numerical schemes. Zbl 0734.65080
Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S.
1991
Existence of solutions to the Stommel-Charney model of the gulf stream. Zbl 0679.76108
Barcilon, V.; Constantin, P.; Titi, E. S.
1988
Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043
Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A.
2007
Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
2014
A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208
Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
2016
Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field. Zbl 1334.35202
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2016
Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking. Zbl 1291.35207
Bardos, C.; Lopes Filho, M. C.; Niu, Dongjuan; Nussenzveig Lopes, H. J.; Titi, E. S.
2013
Global well-posedness of the $$3D$$ primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157
Cao, Chongsheng; Titi, Edriss S.
2012
On the domain of analyticity for solutions of second order analytic nonlinear differential equations. Zbl 1001.34003
Oliver, Marcel; Titi, Edriss S.
2001
Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrödinger equation. Zbl 0912.35144
Oliver, Marcel; Titi, Edriss S.
1998
Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation. Zbl 0792.35096
Doelman, Arjen; Titi, Edriss S.
1993
Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
2014
Loss of smoothness and energy conserving rough weak solutions for the $$3d$$ Euler equations. Zbl 1191.76057
Bardos, Claude; Titi, E. S.
2010
Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations. Zbl 1084.35058
Ilyin, A. A.; Miranville, A.; Titi, E. S.
2004
Distributed and boundary control of the viscous Burgers’ equation. Zbl 0876.93045
Ly, Hung V.; Mease, Kenneth D.; Titi, Edriss S.
1997
Onsager’s conjecture for the incompressible Euler equations in bounded domains. Zbl 1390.35241
Bardos, Claude; Titi, Edriss S.
2018
Downscaling the 2D Bénard convection equations using continuous data assimilation. Zbl 1383.65088
Altaf, M. U.; Titi, E. S.; Gebrael, T.; Knio, O. M.; Zhao, L.; McCabe, M. F.; Hoteit, I.
2017
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
2010
Finite determining parameters feedback control for distributed nonlinear dissipative systems – a computational study. Zbl 1375.35256
Lunasin, Evelyn; Titi, Edriss S.
2017
Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
2016
Global well-posedness of strong solutions to a tropical climate model. Zbl 1339.35325
Titi, Edriss; Li, Jinkai
2016
On the convergence rate of the Euler-$$\alpha$$, an inviscid second-grade complex fluid, model to the Euler equations. Zbl 1375.35348
Linshiz, Jasmine S.; Titi, Edriss S.
2010
The postprocessing Galerkin and nonlinear Galerkin methods – a truncation analysis point of view. Zbl 1130.65314
Margolin, Len G.; Titi, Edriss S.; Wynne, Shannon
2003
Postprocessing the Galerkin method: The finite-element case. Zbl 0952.65078
García-Archilla, Bosco; Titi, Edriss S.
2000
A remark on quasi-stationary approximate inertial manifolds for the Navier-Stokes equations. Zbl 0808.35102
Jones, D. A.; Titi, E. S.
1994
On a criterion for locating stable stationary solutions to the Navier- Stokes equations. Zbl 0642.76031
Titi, Edriss Saleh
1987
A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Zbl 1144.81329
Chernyshenko, Sergei I.; Constantin, Peter; Robinson, James C.; Titi, Edriss S.
2007
Sharp estimates for the number of degrees of freedom for the damped-driven 2-D Navier-Stokes equations. Zbl 1106.35049
Ilyin, A. A.; Titi, E. S.
2006
Asymptotic states of a Smoluchowski equation. Zbl 1086.76003
Constantin, P.; Kevrekidis, I. G.; Titi, E. S.
2004
Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements. Zbl 1334.35230
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2016
Slow observables of singularly perturbed differential equations. Zbl 1140.34025
Artstein, Zvi; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
2007
Analytic study of shell models of turbulence. Zbl 1113.34044
Constantin, Peter; Levant, Boris; Titi, Edriss S.
2006
Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone. Zbl 1365.35108
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2017
On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in $$\mathbb{R}^2$$. Zbl 1332.76013
Li, Jinkai; Titi, Edriss S.; Xin, Zhouping
2016
On convergence of trajectory attractors of the 3D Navier-Stokes-$$\alpha$$ model as $$\alpha$$ approaches 0. Zbl 1137.37037
Vishik, M. I.; Titi, E. S.; Chepyzhov, V. V.
2007
On the effectiveness of the approximate inertial manifold – a computational study. Zbl 0838.76066
Jones, Don A.; Margolin, Len G.; Titi, Edriss S.
1995
A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103
Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S.
2012
Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit. Zbl 1387.35462
Ramos, Fabio; Titi, Edriss S.
2010
Remarks on a Smoluchowski equation. Zbl 1138.35336
Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S.
2004
Attractors for the two-dimensional Navier–Stokes-$${\alpha}$$ model: an $${\alpha}$$-dependence study. Zbl 1039.35078
Ilyin, A. A.; Titi, E. S.
2003
Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the Ginzburg-Landau equation. Zbl 0849.35014
Takáč, P.; Bollerman, P.; Doelman, A.; van Harten, A.; Titi, E. S.
1996
On the evolution of nearly circular vortex patches. Zbl 0673.76025
Constantin, P.; Titi, E. S.
1988
On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model. Zbl 1364.86017
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2016
Convergence of the 2D Euler-$$\alpha$$ to Euler equations in the Dirichlet case: indifference to boundary layers. Zbl 1364.35277
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin
2015
Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. Zbl 1448.65157
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S.
2020
Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent. Zbl 1437.35542
Luo, Tianwen; Titi, Edriss S.
2020
On the well-posedness of reduced $$3D$$ primitive geostrophic adjustment model with weak dissipation. Zbl 1440.35263
Cao, Chongsheng; Lin, Quyuan; Titi, Edriss S.
2020
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Zbl 1447.35267
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S.
2020
Onsager’s conjecture with physical boundaries and an application to the vanishing viscosity limit. Zbl 1420.35203
Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil
2019
On the extension of Onsager’s conjecture for general conservation laws. Zbl 1420.35202
Bardos, Claude; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Titi, Edriss S.; Wiedemann, Emil
2019
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation. Zbl 1412.35224
Li, Jinkai; Titi, Edriss S.
2019
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. Zbl 1420.35181
Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
2019
Global existence of weak solutions to the compressible primitive equations of atmospheric dynamics with degenerate viscosities. Zbl 1419.35150
Liu, Xin; Titi, Edriss S.
2019
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204
Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S.
2019
Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276
Celik, Emine; Olson, Eric; Titi, Edriss S.
2019
Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155
Titi, Edriss S.; Trabelsi, Saber
2019
A data assimilation algorithm: the paradigm of the 3D Leray-$$\alpha$$ model of turbulence. Zbl 1436.35274
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2019
A determining form for the subcritical surface quasi-geostrophic equation. Zbl 1420.35042
Jolly, Michael S.; Martinez, Vincent R.; Sadigov, Tural; Titi, Edriss S.
2019
Onsager’s conjecture for the incompressible Euler equations in bounded domains. Zbl 1390.35241
Bardos, Claude; Titi, Edriss S.
2018
Uniform-in-time error estimates for the postprocessing Galerkin method applied to a data assimilation algorithm. Zbl 1384.35067
Mondaini, Cecilia F.; Titi, Edriss S.
2018
Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study. Zbl 1404.76100
Farhat, Aseel; Johnston, Hans; Jolly, Michael; Titi, Edriss S.
2018
Global stabilization of the Navier-Stokes-voight and the damped nonlinear wave equations by finite number of feedback controllers. Zbl 1402.35043
Kalantarov, Varga K.; Titi, Edriss S.
2018
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053
Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S.
2018
Downscaling the 2D Bénard convection equations using continuous data assimilation. Zbl 1383.65088
Altaf, M. U.; Titi, E. S.; Gebrael, T.; Knio, O. M.; Zhao, L.; McCabe, M. F.; Hoteit, I.
2017
Finite determining parameters feedback control for distributed nonlinear dissipative systems – a computational study. Zbl 1375.35256
Lunasin, Evelyn; Titi, Edriss S.
2017
Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone. Zbl 1365.35108
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2017
A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091
Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S.
2017
Strong solutions to the 3D primitive equations with only horizontal dissipation: near $$H^{1}$$ initial data. Zbl 1366.35123
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
2017
Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data. Zbl 1364.35275
Li, Jinkai; Titi, Edriss S.
2017
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. Zbl 1379.35325
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S.
2017
Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation – Fourier modes case. Zbl 1364.35312
Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S.
2017
One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211
Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S.
2017
Global well-posedness of the 2D Boussinesq equations with vertical dissipation. Zbl 1336.35297
Li, Jinkai; Titi, Edriss S.
2016
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
2016
A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027
Gesho, Masakazu; Olson, Eric; Titi, Edriss S.
2016
Continuous data assimilation for the three-dimensional Navier-Stokes-$$\alpha$$ model. Zbl 1344.35078
Albanez, Débora A. F.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.
2016
A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208
Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
2016
Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field. Zbl 1334.35202
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2016
Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
2016
Global well-posedness of strong solutions to a tropical climate model. Zbl 1339.35325
Titi, Edriss; Li, Jinkai
2016
Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements. Zbl 1334.35230
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2016
On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in $$\mathbb{R}^2$$. Zbl 1332.76013
Li, Jinkai; Titi, Edriss S.; Xin, Zhouping
2016
On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model. Zbl 1364.86017
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2016
A tropical atmosphere model with moisture: global well-posedness and relaxation limit. Zbl 1345.35116
Li, Jinkai; Titi, Edriss S.
2016
Finite-parameters feedback control for stabilizing damped nonlinear wave equations. Zbl 1350.35123
Kalantarov, Varga K.; Titi, Edriss S.
2016
Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations. Zbl 1408.35166
2016
Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262
Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S.
2015
Continuous data assimilation with stochastically noisy data. Zbl 1308.35161
Bessaih, Hakima; Olson, Eric; Titi, Edriss S.
2015
Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053
Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S.
2015
Convergence of the 2D Euler-$$\alpha$$ to Euler equations in the Dirichlet case: indifference to boundary layers. Zbl 1364.35277
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin
2015
A determining form for the damped driven nonlinear Schrödinger equation – Fourier modes case. Zbl 1309.35135
Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S.
2015
Approximation of 2D Euler equations by the second-grade fluid equations with Dirichlet boundary conditions. Zbl 1328.35153
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin
2015
On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058
Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S.
2015
Inertial manifolds for certain subgrid-scale $$\alpha$$-models of turbulence. Zbl 1328.35150
Hamed, Mohammad Abu; Guo, Yanqiu; Titi, Edriss S.
2015
Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello. Zbl 1326.35313
Guo, Yanqiu; Simon, Konrad; Titi, Edriss S.
2015
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
2014
Feedback control of nonlinear dissipative systems by finite determining parameters – a reaction-diffusion paradigm. Zbl 1304.35715
Azouani, Abderrahim; Titi, Edriss S.
2014
Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
2014
Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
2014
A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108
Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S.
2014
Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations. Zbl 1307.76083
2014
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping. Zbl 1302.35259
Guo, Yanqiu; Rammaha, Mohammad A.; Sakuntasathien, Sawanya; Titi, Edriss S.; Toundykov, Daniel
2014
Planar limits of three-dimensional incompressible flows with helical symmetry. Zbl 1312.35144
Lopes Filho, Milton C.; Mazzucato, Anna L.; Niu, Dongjuan; Lopes, Helena J. Nussenzveig; Titi, Edriss S.
2014
Dissipation length scale estimates for turbulent flows: a Wiener algebra approach. Zbl 1300.35066
Biswas, A.; Jolly, M. S.; Martinez, V. R.; Titi, E. S.
2014
Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion. Zbl 1284.35343
Larios, Adam; Lunasin, Evelyn; Titi, Edriss S.
2013
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
2013
Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking. Zbl 1291.35207
Bardos, C.; Lopes Filho, M. C.; Niu, Dongjuan; Nussenzveig Lopes, H. J.; Titi, E. S.
2013
Persistency of analyticity for nonlinear wave equations: An energy-like approach. Zbl 1298.35022
Guo, Yanqiu; Titi, Edriss S.
2013
Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model. Zbl 1308.35200
Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S.
2013
The 3D incompressible Euler equations with a passive scalar: a road to blow-up? Zbl 1292.35216
Gibbon, John D.; Titi, Edriss S.
2013
On the global regularity of a helical-decimated version of the 3D Navier-Stokes equations. Zbl 1275.35057
Biferale, Luca; Titi, Edriss S.
2013
Global well-posedness of the $$3D$$ primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157
Cao, Chongsheng; Titi, Edriss S.
2012
A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103
Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S.
2012
The vanishing viscosity as a selection principle for the Euler equations: the case of 3D shear flow. Zbl 1253.35107
Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil
2012
Long-time behavior of a two-layer model of baroclinic quasi-geostrophic turbulence. Zbl 1282.86011
Farhat, Aseel; Lee Panetta, R.; Titi, Edriss S.; Ziane, Mohammed
2012
Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051
Cao, Chongsheng; Titi, Edriss S.
2011
On the regularization mechanism for the periodic Korteweg-de Vries equation. Zbl 1284.35365
Babin, Anatoli V.; Ilyin, Alexei A.; Titi, Edriss S.
2011
Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048
Hayden, Kevin; Olson, Eric; Titi, Edriss S.
2011
Analysis and computation of a discrete KdV-Burgers type equation with fast dispersion and slow diffusion. Zbl 1245.34063
Artstein, Zvi; Gear, C. William; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
2011
On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172
2010
Loss of smoothness and energy conserving rough weak solutions for the $$3d$$ Euler equations. Zbl 1191.76057
Bardos, Claude; Titi, E. S.
2010
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
2010
On the convergence rate of the Euler-$$\alpha$$, an inviscid second-grade complex fluid, model to the Euler equations. Zbl 1375.35348
Linshiz, Jasmine S.; Titi, Edriss S.
2010
Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit. Zbl 1387.35462
Ramos, Fabio; Titi, Edriss S.
2010
Entire solutions of hydrodynamical equations with exponential dissipation. Zbl 1208.35100
Bardos, Claude; Frisch, Uriel; Pauls, Walter; Ray, Samriddhi Sankar; Titi, Edriss S.
2010
Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056
Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S.
2010
Global regularity and convergence of a Birkhoff-Rott-$$\alpha$$ approximation of the dynamics of vortex sheets of the two-dimensional Euler equations. Zbl 1218.76012
Bardos, Claude; Titi, Edriss S.; Linshiz, Jasmine S.
2010
Global attractors and determining modes for the 3D Navier-Stokes-Voight equations. Zbl 1178.37112
Kalantarov, Varga K.; Titi, Edriss S.
2009
Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S.
2009
Global existence and uniqueness of weak solutions of three-dimensional Euler equations with helical symmetry in the absence of vorticity stretching. Zbl 1303.76006
Ettinger, Boris; Titi, Edriss S.
2009
On the rate of convergence of the two-dimensional $$\alpha$$-models of turbulence to the Navier-Stokes equations. Zbl 1192.35129
Cao, Yanping; Titi, Edriss S.
2009
Modulation theory for self-focusing in the nonlinear Schrödinger-Helmholtz equation. Zbl 1169.35370
Cao, Yanping; Musslimani, Ziad H.; Titi, Edriss S.
2009
Simulations of turbulent ocean flow using a deconvolution model. Zbl 1159.76018
Bennis, Anne-Claire; Lewandowski, Roger; Titi, Edriss S.
2009
Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053
Cao, Chongsheng; Titi, Edriss S.
2008
A Beale-Kato-Madja breakdown criterion for an Oldroyd-B fluid in the creeping flow regime. Zbl 1140.35345
Kupferman, Raz; Mangoubi, Claude; Titi, Edriss S.
2008
Determining modes and Grashof number in 2D turbulence: a numerical case study. Zbl 1178.76190
Olson, Eric; Titi, Edriss S.
2008
Spectral scaling of the Leray-$$\alpha$$ model for two-dimensional turbulence. Zbl 1195.76199
Lunasin, Evelyn; Kurien, Susan; Titi, Edriss S.
2008
An inviscid regularization for the surface quasi-geostrophic equation. Zbl 1149.35018
Khouider, Boualem; Titi, Edriss S.
2008
Regularization modeling for large-eddy simulation of homogeneous isotropic decaying turbulence. Zbl 1195.76195
Geurts, Bernard J.; Kuczaj, Arkadiusz K.; Titi, Edriss S.
2008
Regularity criterion for solutions of three-dimensional turbulent channel flows. Zbl 1151.76012
Cao, Chongsheng; Qin, Junlin; Titi, Edriss S.
2008
Young measure approach to computing slowly advancing fast oscillations. Zbl 1155.65057
Artstein, Zvi; Linshiz, Jasmine; Titi, Edriss S.
2008
Nonlinear Schrödinger-Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation. Zbl 1143.35365
Cao, Yanping; Musslimani, Ziad H.; Titi, Edriss S.
2008
Global regularity for a Birkhoff-Rott-$$\alpha$$ approximation of the dynamics of vortex sheets of the 2D Euler equations. Zbl 1143.76384
Bardos, Claude; Linshiz, Jasmine S.; Titi, Edriss S.
2008
The damped-driven 2D Navier-Stokes system on large elongated domains. Zbl 1162.76323
Ilyin, Alexei A.; Titi, Edriss S.
2008
...and 99 more Documents
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#### Cited by 2,277 Authors

 115 Titi, Edriss Saleh 34 Rebholz, Leo G. 33 Holm, Darryl D. 32 Tachim Medjo, Theodore 31 Temam, Roger Meyer 30 Jolly, Michael S. 29 Foiaş, Ciprian Ilie 29 Wu, Jiahong 27 Kukavica, Igor 22 Constantin, Peter 22 Gao, Hongjun 22 Ye, Zhuan 21 Guo, Boling 20 Vicol, Vlad C. 17 Duan, Jinqiao 17 Nguyen Huy Tuan 16 Berselli, Luigi Carlo 16 Cao, Chongsheng 16 Zhang, Zujin 15 Bessaih, Hakima 15 Cung The Anh 15 Dong, Boqing 14 He, Yinnian 14 Himonas, A. Alexandrou 14 Liu, Yue 14 Robinson, James Cooper 14 Skalák, Zdeněk 14 Xu, Xiaojing 13 Biswas, Animikh 13 Chae, Dongho 13 Fan, Jishan 13 Lewandowski, Roger 13 Li, Jinkai 13 Wang, Xiaoming 13 Yamazaki, Kazuo 13 Zhou, Yong 12 Cheskidov, Alexey 12 Layton, William J. 12 Novo, Julia 12 Nussenzveig Lopes, Helena Judith 11 Chen, Zhimin 11 Grujić, Zoran 11 Lopes Filho, Milton da Costa 11 Lunasin, Evelyn M. 11 Masmoudi, Nader 11 Olson, Eric J. 10 Bardos, Claude Williams 10 Catania, Davide 10 Chueshov, Igor’ Dmitrievich 10 Deugoue, Gabriel 10 Farhat, Aseel 10 Gibbon, John D. 10 Guo, Yanqiu 10 Hou, Yanren 10 Jiu, Quansen 10 Kalantarov, Varga K. 10 Kevrekidis, Ioannis George 10 Manica, Carolina Cardoso 10 Neda, Monika 10 Qu, Changzheng 10 Székelyhidi, László jun. 10 Yao, Zhengan 10 Zelik, Sergey V. 10 Zhang, Zhifei 9 De Lellis, Camillo 9 Eyink, Gregory L. 9 García-Archilla, Bosco 9 Glatt-Holtz, Nathan E. 9 Guo, Zhengguang 9 Hieber, Matthias 9 Larios, Adam 9 Li, Kaitai 9 Liu, Qiao 9 Martinez, Vincent R. 9 Oliver, Marcel 9 Pizzocchero, Livio 9 Razafimandimby, Paul André 9 You, Bo 9 Ziane, Mohammed 8 Au, Vo Van 8 Busuioc, Adriana Valentina 8 Chepyzhov, Vladimir V. 8 Dascaliuc, Radu 8 Dunca, Argus Adrian 8 Fried, Eliot 8 Gala, Sadek 8 Ha, Seung-Yeal 8 Hou, Thomas Yizhao 8 Iftimie, Dragoş 8 Ilyin, Alexei A. 8 Jones, Don A. 8 Kim, Tae-Yeon 8 Li, Shan 8 Nicolaenko, Basil 8 Niu, Dongjuan 8 Qiu, Hua 8 Smaoui, Nejib 8 Tian, Lixin 8 Wiedemann, Emil 8 Yang, Xinguang ...and 2,177 more Authors
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#### Cited in 302 Serials

 134 Journal of Mathematical Analysis and Applications 132 Journal of Differential Equations 113 Physica D 78 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 66 Journal of Mathematical Physics 55 Journal of Mathematical Fluid Mechanics 54 Communications in Mathematical Physics 51 Journal of Nonlinear Science 51 Nonlinear Analysis. Real World Applications 49 Archive for Rational Mechanics and Analysis 42 Applied Mathematics Letters 39 Discrete and Continuous Dynamical Systems 34 Applied Mathematics and Computation 29 Journal of Dynamics and Differential Equations 27 Journal of Computational Physics 26 Applicable Analysis 26 Computers & Mathematics with Applications 26 Discrete and Continuous Dynamical Systems. Series B 25 Mathematical Methods in the Applied Sciences 25 Nonlinearity 25 SIAM Journal on Mathematical Analysis 24 Computer Methods in Applied Mechanics and Engineering 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Physics of Fluids 22 Journal of Statistical Physics 21 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Communications in Partial Differential Equations 20 Journal of Functional Analysis 20 Communications on Pure and Applied Analysis 19 Abstract and Applied Analysis 18 Journal of Fluid Mechanics 18 Numerical Functional Analysis and Optimization 17 Journal of Computational and Applied Mathematics 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Numerical Methods for Partial Differential Equations 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Numerische Mathematik 14 Journal of Scientific Computing 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Journal of Evolution Equations 12 Nonlinear Dynamics 12 Science China. Mathematics 11 Advances in Mathematics 11 Applied Mathematics and Optimization 11 Chinese Annals of Mathematics. Series B 11 Acta Applicandae Mathematicae 11 NoDEA. Nonlinear Differential Equations and Applications 11 SIAM Journal on Applied Dynamical Systems 10 Communications on Pure and Applied Mathematics 10 Mathematics of Computation 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 10 Applied Numerical Mathematics 9 Systems & Control Letters 9 Acta Mathematica Sinica. English Series 8 Automatica 8 SIAM Journal on Numerical Analysis 8 Acta Mathematicae Applicatae Sinica. English Series 8 Chaos 8 Journal of Turbulence 8 Stochastics and Dynamics 8 Boundary Value Problems 8 Evolution Equations and Control Theory 7 Theoretical and Computational Fluid Dynamics 7 Chaos, Solitons and Fractals 7 Mathematical and Computer Modelling 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Calculus of Variations and Partial Differential Equations 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Nonlinear Analysis. Theory, Methods & Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 SIAM Journal on Control and Optimization 6 Applied Mathematics and Mechanics. (English Edition) 6 Stochastic Analysis and Applications 6 Bulletin of the American Mathematical Society. New Series 6 Mathematical Problems in Engineering 6 Doklady Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Kinetic and Related Models 5 Computers and Fluids 5 Annales Polonici Mathematici 5 Mathematische Annalen 5 European Journal of Applied Mathematics 5 Applied Mathematical Modelling 5 Proceedings of the National Academy of Sciences of the United States of America 5 SIAM Journal on Scientific Computing 5 Advances in Computational Mathematics 5 European Journal of Mechanics. B. Fluids 5 Annals of Mathematics. Second Series 5 Multiscale Modeling & Simulation 5 Analysis and Applications (Singapore) 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Annals of PDE 4 Mathematical Notes 4 Inventiones Mathematicae 4 Quarterly of Applied Mathematics 4 Bulletin of the Korean Mathematical Society 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Revista Matemática Iberoamericana ...and 202 more Serials
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#### Cited in 49 Fields

 1,735 Partial differential equations (35-XX) 1,353 Fluid mechanics (76-XX) 292 Dynamical systems and ergodic theory (37-XX) 262 Numerical analysis (65-XX) 179 Geophysics (86-XX) 113 Systems theory; control (93-XX) 106 Ordinary differential equations (34-XX) 104 Probability theory and stochastic processes (60-XX) 67 Statistical mechanics, structure of matter (82-XX) 46 Mechanics of deformable solids (74-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 40 Biology and other natural sciences (92-XX) 39 Operator theory (47-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 29 Real functions (26-XX) 27 Global analysis, analysis on manifolds (58-XX) 25 Mechanics of particles and systems (70-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Functional analysis (46-XX) 15 Statistics (62-XX) 13 Quantum theory (81-XX) 12 Measure and integration (28-XX) 10 Optics, electromagnetic theory (78-XX) 8 Differential geometry (53-XX) 6 Astronomy and astrophysics (85-XX) 5 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 4 History and biography (01-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

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