Edit Profile (opens in new tab) Jolly, Michael S. Compute Distance To: Compute Author ID: jolly.michael-s Published as: Jolly, M. S.; Jolly, Michael S.; Jolly, Michael more...less Documents Indexed: 68 Publications since 1989 Co-Authors: 40 Co-Authors with 61 Joint Publications 1,135 Co-Co-Authors all top 5 Co-Authors 4 single-authored 26 Foiaş, Ciprian Ilie 19 Titi, Edriss Saleh 8 Kevrekidis, Ioannis George 8 Rosa, Ricardo M. S. 6 Dascaliuc, Radu 6 Manley, Oscar P. 6 Martinez, Vincent R. 5 Temam, Roger Meyer 3 Balci, Nusret 3 Farhat, Aseel 3 Sadigov, Tural 2 Biswas, Animikh 2 Brown, Harry S. 2 Cao, Yu 2 Johnson, Mark E. 2 Kravchenko, Rostyslav V. 2 Kukavica, Igor 2 Kumar, Anuj 2 Van Vleck, Erik S. 2 Wirosoetisno, Djoko 2 Yang, Yong 2 Zhang, Bingsheng 1 Bradshaw, Zachary 1 Dieci, Luca 1 Ensman, L. 1 Fan, Wai-Tong Louis 1 Grujić, Zoran 1 Haidar, A. Abi 1 Holmes, William R. 1 Huang, Aimin 1 Hudson, Joshua 1 Huo, Wenru 1 Isenberg, A. M. 1 Johnston, Hans 1 Lan, Ruomeng 1 Lithio, Dan 1 Lunasin, Evelyn M. 1 Olson, Eric J. 1 Ortoleva, Peter J. 1 Pakzad, Ali 1 Qu, Kun 1 Rubinstein, Jacob 1 Rupam, Rishika 1 Tuncay, K. 1 Whitehead, Jared P. all top 5 Serials 7 Nonlinearity 7 Physica D 4 Journal of Differential Equations 4 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Physics 3 Discrete and Continuous Dynamical Systems 2 Communications in Mathematical Physics 2 Journal of Statistical Physics 2 Indiana University Mathematics Journal 2 Journal of Nonlinear Science 2 Journal of Mathematical Fluid Mechanics 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Advances in Differential Equations 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Confluentes Mathematici 1 Journal of Theoretical Biology 1 Journal of Computational Dynamics 1 Pure and Applied Functional Analysis all top 5 Fields 54 Partial differential equations (35-XX) 39 Fluid mechanics (76-XX) 28 Dynamical systems and ergodic theory (37-XX) 14 Ordinary differential equations (34-XX) 12 Numerical analysis (65-XX) 5 Operator theory (47-XX) 5 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 57 Publications have been cited 560 times in 330 Documents Cited by ▼ Year ▼ Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 83 1990 Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S. 42 2015 Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 29 2002 Dissipativity of numerical schemes. Zbl 0734.65080Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 27 1991 Explicit construction of an inertial manifold for a reaction diffusion equation. Zbl 0691.35049Jolly, Michael S. 27 1989 Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078Dascaliuc, R.; Foias, C.; Jolly, M. S. 20 2005 A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. 20 2017 On the numerical algebraic approximation of global attractors. Zbl 0837.34052Foias, C.; Jolly, M. S. 16 1995 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161Dascaliuc, R.; Foias, C.; Jolly, M. S. 16 2010 A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S. 16 2012 A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S. 16 2014 Preserving dissipation in approximate inertial forms for the Kuramoto- Sivashinsky equation. Zbl 0738.35024Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 15 1991 Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations. Zbl 0767.35059Jolly, M. S. 14 1993 A determining form for the damped driven nonlinear Schrödinger equation – Fourier modes case. Zbl 1309.35135Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 14 2015 Two-dimensional invariant manifolds and global bifurcations: Some approximation and visualization studies. Zbl 0885.65081Johnson, Mark E.; Jolly, Michael S.; Kevrekidis, Ioannis G. 12 1997 On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation. Zbl 0941.65526Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 11 1994 Accurate computations on inertial manifolds. Zbl 0988.34048Jolly, M. S.; Rosa, R.; Temam, R. 11 2001 Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation. Zbl 1045.37048Jolly, M. S.; Rosa, R.; Temam, R. 11 2000 Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study. Zbl 1404.76100Farhat, Aseel; Johnston, Hans; Jolly, Michael; Titi, Edriss S. 11 2018 Kolmogorov theory via finite-time averages. Zbl 1083.35091Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R. 10 2005 Kraichnan turbulence via finite time averages. Zbl 1065.76101Foias, C.; Jolly, M. S.; Manley, O. P. 9 2005 The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S. 8 2001 Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane. Zbl 1144.81335Dascaliuc, R.; Foias, C.; Jolly, M. S. 7 2007 Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. 7 2019 Time analyticity with higher norm estimates for the 2D Navier-Stokes equations. Zbl 1339.35211Foias, Ciprian; Jolly, Michael S.; Lan, Ruomeng; Rupam, Rishika; Yang, Yong; Zhang, Bingsheng 6 2015 Dissipation length scale estimates for turbulent flows: a Wiener algebra approach. Zbl 1300.35066Biswas, A.; Jolly, M. S.; Martinez, V. R.; Titi, E. S. 6 2014 Computation of non-smooth local centre manifolds. Zbl 1076.76062Jolly, M. S.; Rosa, R. 6 2005 Some specific mathematical constraints on 2D turbulence. Zbl 1158.76016Dascaliuc, R.; Foias, C.; Jolly, M. S. 6 2008 On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows. Zbl 1160.37419Dascaliuc, R.; Foias, C.; Jolly, M. S. 6 2009 Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation – Fourier modes case. Zbl 1364.35312Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 6 2017 On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 5 2003 The Oseberg transition: visualization of global bifurcations for the Kuramoto-Sivashinsky equation. Zbl 1090.35506Johnson, M. E.; Jolly, M. S.; Kevrekidis, I. G. 5 2001 Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 1482.65194Hudson, Joshua; Jolly, Michael 5 2019 Localization of attractors by their analytic properties. Zbl 0905.34048Foias, C.; Jolly, M. S.; Kukavica, I. 4 1996 2-D turbulence for forcing in all scales. Zbl 1193.35123Balci, N.; Foias, C.; Jolly, M. S. 4 2010 A unified approach to compute foliations, inertial manifolds, and tracking solutions. Zbl 1347.37134Chung, Y.-M.; Jolly, M. S. 4 2015 Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian. Zbl 1397.35312Huang, Aimin; Huo, Wenru; Jolly, Michael 4 2018 Nevanlinna-Pick interpolation of attractors. Zbl 1015.37046Foias, C.; Jolly, M. S.; Li, W.-S. 3 2002 On computing the long-time solution of the two-dimensional Navier-Stokes equations. Zbl 0838.76065Jolly, M. S.; Xiong, C. 3 1995 An application of approximate inertial manifolds to a weakly damped nonlinear Schrödinger equation. Zbl 0851.65071Jolly, M. S.; Temam, R.; Xiong, C. 3 1995 Use of approximate inertial manifolds in bifurcation calculations. Zbl 0739.35005Brown, H. S.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 3 1990 A minimal model for spatio-temporal patterns in thin film flow. Zbl 0744.58054Brown, H. S.; Kevrekidis, I. G.; Jolly, M. S. 3 1991 On single mode forcing of the 2D-NSE. Zbl 1285.35067Foias, C.; Jolly, M. S.; Yang, M. 3 2013 One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S. 3 2017 On universal relations in 2-D turbulence. Zbl 1193.35124Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo 3 2010 On the behavior of the Lorenz equation backward in time. Zbl 1068.34044Foias, C.; Jolly, M. S. 2 2005 Bounds on energy and enstrophy for the 3D Navier-Stokes-\(\alpha\) and Leray-\(\alpha\) models. Zbl 1304.35483Farhat, Aseel; Jolly, Michael S.; Lunasin, Evelyn 2 2014 Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation. Zbl 1080.34551Jolly, M. S.; Témam, R.; Xiong, C. 2 1995 Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S. 2 2008 A determining form for the subcritical surface quasi-geostrophic equation. Zbl 1420.35042Jolly, Michael S.; Martinez, Vincent R.; Sadigov, Tural; Titi, Edriss S. 2 2019 On whether zero is in the global attractor of the 2D Navier-Stokes equations. Zbl 1304.35485Foias, Ciprian; Jolly, Michael S.; Yang, Yong; Zhang, Bingsheng 1 2014 Hydro-elastic waves in a cochlear model: numerical simulations and an analytically reduced model. Zbl 1387.35492Holmes, William R.; Jolly, Michael; Rubinstein, Jacob 1 2011 Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations. Zbl 1325.35138Dascaliuc, R.; Grujić, Z.; Jolly, M. S. 1 2015 Energy spectra and passive tracer cascades in turbulent flows. Zbl 1394.76052Jolly, M. S.; Wirosoetisno, D. 1 2018 Turbulence in vertically averaged convection. Zbl 1398.76064Balci, N.; Isenberg, A. M.; Jolly, M. S. 1 2018 On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces. Zbl 1479.35866Jolly, Michael S.; Kumar, Anuj; Martinez, Vincent R. 1 2021 Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S. 1 2021 On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces. Zbl 1479.35866Jolly, Michael S.; Kumar, Anuj; Martinez, Vincent R. 1 2021 Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S. 1 2021 Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. 7 2019 Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 1482.65194Hudson, Joshua; Jolly, Michael 5 2019 A determining form for the subcritical surface quasi-geostrophic equation. Zbl 1420.35042Jolly, Michael S.; Martinez, Vincent R.; Sadigov, Tural; Titi, Edriss S. 2 2019 Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study. Zbl 1404.76100Farhat, Aseel; Johnston, Hans; Jolly, Michael; Titi, Edriss S. 11 2018 Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian. Zbl 1397.35312Huang, Aimin; Huo, Wenru; Jolly, Michael 4 2018 Energy spectra and passive tracer cascades in turbulent flows. Zbl 1394.76052Jolly, M. S.; Wirosoetisno, D. 1 2018 Turbulence in vertically averaged convection. Zbl 1398.76064Balci, N.; Isenberg, A. M.; Jolly, M. S. 1 2018 A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. 20 2017 Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation – Fourier modes case. Zbl 1364.35312Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 6 2017 One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S. 3 2017 Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S. 42 2015 A determining form for the damped driven nonlinear Schrödinger equation – Fourier modes case. Zbl 1309.35135Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 14 2015 Time analyticity with higher norm estimates for the 2D Navier-Stokes equations. Zbl 1339.35211Foias, Ciprian; Jolly, Michael S.; Lan, Ruomeng; Rupam, Rishika; Yang, Yong; Zhang, Bingsheng 6 2015 A unified approach to compute foliations, inertial manifolds, and tracking solutions. Zbl 1347.37134Chung, Y.-M.; Jolly, M. S. 4 2015 Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations. Zbl 1325.35138Dascaliuc, R.; Grujić, Z.; Jolly, M. S. 1 2015 A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S. 16 2014 Dissipation length scale estimates for turbulent flows: a Wiener algebra approach. Zbl 1300.35066Biswas, A.; Jolly, M. S.; Martinez, V. R.; Titi, E. S. 6 2014 Bounds on energy and enstrophy for the 3D Navier-Stokes-\(\alpha\) and Leray-\(\alpha\) models. Zbl 1304.35483Farhat, Aseel; Jolly, Michael S.; Lunasin, Evelyn 2 2014 On whether zero is in the global attractor of the 2D Navier-Stokes equations. Zbl 1304.35485Foias, Ciprian; Jolly, Michael S.; Yang, Yong; Zhang, Bingsheng 1 2014 On single mode forcing of the 2D-NSE. Zbl 1285.35067Foias, C.; Jolly, M. S.; Yang, M. 3 2013 A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S. 16 2012 Hydro-elastic waves in a cochlear model: numerical simulations and an analytically reduced model. Zbl 1387.35492Holmes, William R.; Jolly, Michael; Rubinstein, Jacob 1 2011 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161Dascaliuc, R.; Foias, C.; Jolly, M. S. 16 2010 2-D turbulence for forcing in all scales. Zbl 1193.35123Balci, N.; Foias, C.; Jolly, M. S. 4 2010 On universal relations in 2-D turbulence. Zbl 1193.35124Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo 3 2010 On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows. Zbl 1160.37419Dascaliuc, R.; Foias, C.; Jolly, M. S. 6 2009 Some specific mathematical constraints on 2D turbulence. Zbl 1158.76016Dascaliuc, R.; Foias, C.; Jolly, M. S. 6 2008 Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S. 2 2008 Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane. Zbl 1144.81335Dascaliuc, R.; Foias, C.; Jolly, M. S. 7 2007 Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078Dascaliuc, R.; Foias, C.; Jolly, M. S. 20 2005 Kolmogorov theory via finite-time averages. Zbl 1083.35091Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R. 10 2005 Kraichnan turbulence via finite time averages. Zbl 1065.76101Foias, C.; Jolly, M. S.; Manley, O. P. 9 2005 Computation of non-smooth local centre manifolds. Zbl 1076.76062Jolly, M. S.; Rosa, R. 6 2005 On the behavior of the Lorenz equation backward in time. Zbl 1068.34044Foias, C.; Jolly, M. S. 2 2005 On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 5 2003 Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 29 2002 Nevanlinna-Pick interpolation of attractors. Zbl 1015.37046Foias, C.; Jolly, M. S.; Li, W.-S. 3 2002 Accurate computations on inertial manifolds. Zbl 0988.34048Jolly, M. S.; Rosa, R.; Temam, R. 11 2001 The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S. 8 2001 The Oseberg transition: visualization of global bifurcations for the Kuramoto-Sivashinsky equation. Zbl 1090.35506Johnson, M. E.; Jolly, M. S.; Kevrekidis, I. G. 5 2001 Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation. Zbl 1045.37048Jolly, M. S.; Rosa, R.; Temam, R. 11 2000 Two-dimensional invariant manifolds and global bifurcations: Some approximation and visualization studies. Zbl 0885.65081Johnson, Mark E.; Jolly, Michael S.; Kevrekidis, Ioannis G. 12 1997 Localization of attractors by their analytic properties. Zbl 0905.34048Foias, C.; Jolly, M. S.; Kukavica, I. 4 1996 On the numerical algebraic approximation of global attractors. Zbl 0837.34052Foias, C.; Jolly, M. S. 16 1995 On computing the long-time solution of the two-dimensional Navier-Stokes equations. Zbl 0838.76065Jolly, M. S.; Xiong, C. 3 1995 An application of approximate inertial manifolds to a weakly damped nonlinear Schrödinger equation. Zbl 0851.65071Jolly, M. S.; Temam, R.; Xiong, C. 3 1995 Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation. Zbl 1080.34551Jolly, M. S.; Témam, R.; Xiong, C. 2 1995 On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation. Zbl 0941.65526Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 11 1994 Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations. Zbl 0767.35059Jolly, M. S. 14 1993 Dissipativity of numerical schemes. Zbl 0734.65080Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 27 1991 Preserving dissipation in approximate inertial forms for the Kuramoto- Sivashinsky equation. Zbl 0738.35024Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 15 1991 A minimal model for spatio-temporal patterns in thin film flow. Zbl 0744.58054Brown, H. S.; Kevrekidis, I. G.; Jolly, M. S. 3 1991 Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 83 1990 Use of approximate inertial manifolds in bifurcation calculations. Zbl 0739.35005Brown, H. S.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 3 1990 Explicit construction of an inertial manifold for a reaction diffusion equation. Zbl 0691.35049Jolly, Michael S. 27 1989 all cited Publications top 5 cited Publications all top 5 Cited by 415 Authors 39 Titi, Edriss Saleh 37 Jolly, Michael S. 20 Foiaş, Ciprian Ilie 14 Danca, Marius-Florin 10 Temam, Roger Meyer 9 Biswas, Animikh 8 Dascaliuc, Radu 8 Kevrekidis, Ioannis George 8 Larios, Adam 7 Farhat, Aseel 7 Lunasin, Evelyn M. 7 Martinez, Vincent R. 7 Rosa, Ricardo M. S. 6 Kukavica, Igor 6 Rocha, Carlos 6 Wang, Xiaoming 5 Fiedler, Bernold 5 Grujić, Zoran 5 Olson, Eric J. 5 Osinga, Hinke Maria 5 Roberts, Anthony John 5 Vicol, Vlad C. 4 Bartuccelli, Michele V. 4 Cheskidov, Alexey 4 Dai, Mimi 4 Doering, Charles Rogers 4 García-Archilla, Bosco 4 Glatt-Holtz, Nathan E. 4 Jones, Don A. 4 Ma, Liangliang 4 Mondaini, Cecilia F. 4 Novo, Julia 4 Rebholz, Leo G. 4 Zhu, Jiang 3 Akhtar, Imran 3 Ayala, Diego 3 Bollt, Erik M. 3 Chen, Guanrong 3 Cung The Anh 3 Karniadakis, George Em 3 Krauskopf, Bernd 3 Kuznetsov, Nikolay Vladimirovich 3 Luo, Zhendong 3 Manley, Oscar P. 3 Mazzucato, Anna L. 3 Pakzad, Ali 3 Papageorgiou, Demetrios T. 3 Robinson, James Cooper 3 Sadigov, Tural 3 You, Bo 3 Zerfas, Camille 2 Adrover, Alessandra 2 Akrivis, Georgios D. 2 Allouba, Hassan 2 Ambrose, David M. 2 Armero, Francisco 2 Azouani, Abderrahim 2 Bach, Bui Huy 2 Balci, Nusret 2 Barker, Blake 2 Bradshaw, Zachary 2 Brunovský, Pavol 2 Bunder, J. E. 2 Çamliyurt, Güher 2 Carlberg, Kevin T. 2 Carlson, Elizabeth 2 Chen, Zhimin 2 Chorin, Alexandre Joel 2 Christofides, Panagiotis D. 2 Constantin, Peter 2 Dellnitz, Michael 2 Duan, Jinqiao 2 Dubois, Thierry 2 Ervin, Vincent J. 2 Gao, Peng 2 Gerlach, Raphael 2 Giona, Massimiliano 2 Goubet, Olivier 2 Guo, Shangjiang 2 Guo, Yanqiu 2 Hassanaly, Malik 2 Hay, Alexander 2 Hudson, Joshua 2 Jauberteau, François 2 Pei, Yuan 2 Pötzsche, Christian 2 Price, W. Geraint 2 Protas, Bartosz 2 Raman, Venkat 2 Rasmussen, Martin 2 Rezunenko, Oleksandr V”yacheslavovych 2 Russell, Robert D. 2 Russo, Lucia 2 Sell, George Roger 2 Siettos, Constantinos I. 2 Simo, Juan Carlos 2 Sirisup, Sirod 2 Smaoui, Nejib 2 Smyrlis, Yiorgos-Sokratis 2 Steyer, Andrew J. ...and 315 more Authors all top 5 Cited in 100 Serials 33 Physica D 18 Journal of Differential Equations 18 Journal of Dynamics and Differential Equations 11 Journal of Mathematical Analysis and Applications 11 Journal of Nonlinear Science 11 SIAM Journal on Applied Dynamical Systems 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Chaos 9 Journal of Computational Physics 8 Applied Mathematics and Computation 7 Mathematics of Computation 6 Communications in Mathematical Physics 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational and Applied Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Applied Numerical Mathematics 5 Archive for Rational Mechanics and Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Evolution Equations and Control Theory 4 Computers & Mathematics with Applications 4 Journal of Mathematical Physics 4 Theoretical and Computational Fluid Dynamics 4 Discrete and Continuous Dynamical Systems 4 Journal of Mathematical Fluid Mechanics 4 Communications on Pure and Applied Analysis 4 Journal of Applied Analysis and Computation 3 Journal of Fluid Mechanics 3 Journal of Statistical Physics 3 Chaos, Solitons and Fractals 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 SIAM Journal on Mathematical Analysis 3 Nonlinear Dynamics 3 Advanced Nonlinear Studies 2 Journal of the Franklin Institute 2 Nonlinearity 2 Physics of Fluids, A 2 Annales de l’Institut Fourier 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 Chinese Annals of Mathematics. Series B 2 Journal of Scientific Computing 2 Proceedings of the National Academy of Sciences of the United States of America 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Annales Polonici Mathematici 1 Calcolo 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 St. Petersburg Mathematical Journal 1 Random Operators and Stochastic Equations 1 Advances in Computational Mathematics 1 Complexity 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Computational Geosciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Hacettepe Journal of Mathematics and Statistics 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Discrete and Continuous Dynamical Systems. Series S 1 São Paulo Journal of Mathematical Sciences 1 Journal of Computational Dynamics 1 Journal of Applied Nonlinear Dynamics 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 1 Mathematics of Climate and Weather Forecasting 1 Annales Henri Lebesgue 1 Electronic Research Archive all top 5 Cited in 31 Fields 219 Partial differential equations (35-XX) 145 Fluid mechanics (76-XX) 126 Dynamical systems and ergodic theory (37-XX) 76 Numerical analysis (65-XX) 50 Ordinary differential equations (34-XX) 33 Systems theory; control (93-XX) 12 Geophysics (86-XX) 11 Probability theory and stochastic processes (60-XX) 10 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 4 Real functions (26-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year