Edit Profile Constantin, Peter Compute Distance To: Compute Author ID: constantin.peter Published as: Constantin, P.; Constantin, Peter; Constantin, Petre Homepage: https://web.math.princeton.edu/~const/ External Links: MGP · Wikidata · GND Documents Indexed: 174 Publications since 1983, including 5 Books all top 5 Co-Authors 50 single-authored 16 Wu, Jiahong 15 Foiaş, Ciprian Ilie 15 Vicol, Vlad C. 14 Titi, Edriss Saleh 10 Ryzhik, Lenya 8 Temam, Roger Meyer 7 Chae, Dongho 7 Doering, Charles R. 7 Ignatova, Mihaela 6 Majda, Andrew J. 5 Kiselev, Alexander A. 5 Nguyen, Huy Quang 5 Seregin, Gregory A. 4 Cordoba, Diego 4 Fefferman, Charles Louis 4 Gancedo, Francisco 4 Iyer, Gautam 4 Manley, Oscar P. 3 Elgindi, Tarek Mohamed 3 Friedlander, Susan Jean 3 Kadanoff, Leo Philip 3 Kukavica, Igor 3 Nicolaenko, Basil 3 Saut, Jean-Claude 3 Shvydkoy, Roman V. 2 Drivas, Theodore Dimitrios 2 Gibbon, John D. 2 Hallstrom, Chris 2 Kevrekidis, Ioannis George 2 La, Joonhyun 2 Levant, Boris 2 Nie, Qing 2 Ohkitani, Koji 2 Putkaradze, Vakhtang 2 Roquejoffre, Jean-Michel 2 Strain, Robert M. 2 Tabak, Esteban G. 2 Tarfulea, Andrei 2 Vladimirova, Natalia 2 Vukadinovic, Jesenko 2 Zlatoš, Andrej 1 Barcilon, Victor 1 Bartuccelli, Michele V. 1 Bercovici, Hari 1 Berestycki, Henri 1 Bertozzi, Andrea Louise 1 Brenner, Michael P. 1 Cannone, Marco 1 Chernyshenko, Sergei I. 1 Cheskidov, Alexey 1 Coti Zelati, Michele 1 Domelevo, Komla 1 E, Weinan 1 Gallavotti, Giovanni M. 1 Gisselfält, Magnus 1 Glatt-Holtz, Nathan E. 1 Grossman, Elizabeth 1 Kazhikov, Aleksandr Vasil’evich 1 Kliegl, Markus 1 Lai, Mingchih 1 Lax, Peter David 1 Lewicka, Marta , Wang, Dehua 1 Lopes Filho, Milton da Costa 1 Masmoudi, Nader 1 Mazzucato, Anna L. 1 Meyer, Yves F. 1 Miyakawa, Tetsuro 1 Mungan, Muhittin 1 Novikov, Alexei 1 Nussenzveig Lopes, Helena Judith 1 Oberman, Adam M. 1 Pasqualotto, Federico 1 Procaccia, Itamar 1 Pugh, Mary C. 1 Ramos, Francisco Fernando Ribeiro 1 Robinson, James Cooper 1 Rodríguez-Piazza, Luis 1 Ruchayskiy, Oleg 1 Schenkel, Alain 1 Schorghofer, Norbert 1 Sharma, Ramjee 1 Sun, Weiran 1 Tanveer, Saleh 1 Tseng, Yu-Hou 1 Ukai, Seiji 1 Venkataramani, Shankar C. 1 Zarnescu, Arghir Dani all top 5 Serials 14 Communications in Mathematical Physics 14 Nonlinearity 10 Physica D 8 Indiana University Mathematics Journal 7 Archive for Rational Mechanics and Analysis 7 Communications on Pure and Applied Mathematics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 SIAM Journal on Mathematical Analysis 5 Physics of Fluids 4 IMRN. International Mathematics Research Notices 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Communications in Mathematical Sciences 3 Advances in Mathematics 3 Geometric and Functional Analysis. GAFA 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 Oberwolfach Reports 2 Journal of Fluid Mechanics 2 Journal of the American Mathematical Society 2 Journal of Mathematical Fluid Mechanics 2 Journal of the European Mathematical Society (JEMS) 2 Annals of PDE 1 Computers & Mathematics with Applications 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Theoretical and Computational Fluid Dynamics 1 American Journal of Mathematics 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Publicacions Matemàtiques 1 Journal of Scientific Computing 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Journal of Dynamics and Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A 1 Tatra Mountains Mathematical Publications 1 Annals of Mathematics. Second Series 1 Combustion Theory and Modelling 1 Applied Mathematical Sciences 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Mathematics 1 Philosophical Transactions A. Royal Society of London all top 5 Fields 144 Partial differential equations (35-XX) 136 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Geophysics (86-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 151 Publications have been cited 4,916 times in 2,842 Documents Cited by ▼ Year ▼ Navier-Stokes equations. Zbl 0687.35071Constantin, Peter; Foias, Ciprian 551 1988 Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057Constantin, Peter; Majda, Andrew J.; Tabak, Esteban 282 1994 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 186 1989 Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093Constantin, Peter; Wu, Jiahong 173 1999 Local smoothing properties of dispersive equations. Zbl 0667.35061Constantin, P.; Saut, J. C. 141 1988 Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Zbl 0818.35085Constantin, Peter; E, Weinan; Titi, Edriss S. 139 1994 Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078Constantin, Peter; Vicol, Vlad 131 2012 On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004Constantin, Peter; Cordoba, Diego; Wu, Jiahong 110 2001 Attractors representing turbulent flows. Zbl 0567.35070Constantin, P.; Foiaş, Ciprian; Temam, R. 109 1985 Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Zbl 0837.35113Constantin, Peter; Fefferman, Charles 105 1993 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029Constantin, P.; Lax, P. D.; Majda, A. 100 1985 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 98 1996 Geometric statistics in turbulence. Zbl 0803.35106Constantin, Peter 96 1994 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 88 2008 On the Euler equations of incompressible fluids. Zbl 1132.76009Constantin, Peter 82 2007 Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractors for 2D Navier-Stokes equations. Zbl 0582.35092Constantin, P.; Foiaş, Ciprian 77 1985 On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030Constantin, P.; Foias, C.; Temam, R. 73 1988 Global regularity for vortex patches. Zbl 0771.76014Bertozzi, A. L.; Constantin, P. 72 1993 Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054Constantin, P.; Foias, C.; Manley, O. P.; Temam, R. 70 1985 Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146Constantin, Peter 67 2006 Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations. Zbl 0655.76041Constantin, Petre 64 1986 Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052Constantin, Peter; Wu, Jiahong 63 2008 Diffusion and mixing in fluid flow. Zbl 1180.35084Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej 62 2008 Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 58 2012 On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation. Zbl 0702.76061Bartuccelli, Michele; Constantin, Petre; Doering, Charles R.; Gibbon, John D.; Gisselfält, Magnus 55 1990 Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R. 53 1989 Infinite Prandtl number convection. Zbl 0935.76083Constantin, Peter; Doering, Charles R. 50 1999 Global solutions for small data to the Hele-Shaw problem. Zbl 0808.35104Constantin, P.; Pugh, M. 50 1993 Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010Chae, Dongho; Constantin, Peter; Wu, Jiahong 49 2011 On the global existence for the Muskat problem. Zbl 1258.35002Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M. 47 2013 Diffusion, attraction and collapse. Zbl 0942.35018Brenner, Michael P.; Constantin, Peter; Kadanoff, Leo P.; Schenkel, Alain; Venkataramani, Shankar C. 47 1999 A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048Constantin, Peter; Iyer, Gautam 46 2008 Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid 46 2000 Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059Constantin, Peter; Iyer, Gautam; Wu, Jiahong 43 2008 Long time dynamics of forced critical SQG. Zbl 1316.35238Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 42 2015 Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010Constantin, Peter; Wu, Jiahong 42 2009 Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069Constantin, P.; Masmoudi, Nader 36 2008 Inviscid limit for vortex patches. Zbl 0832.76011Constantin, Peter; Wu, Jiahong 36 1995 Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G. 36 1994 Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006Constantin, Peter; Kliegl, Markus 34 2012 An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009Constantin, Peter 31 2001 Nonsingular surface quasi-geostrophic flow. Zbl 0974.76512Constantin, Peter; Nie, Qing; Schörghofer, Norbert 30 1998 An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020Constantin, Peter 29 2001 Navier-Stokes equations and area of interfaces. Zbl 0725.35080Constantin, Peter 28 1990 The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049Constantin, Peter; Majda, Andrew 28 1988 On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520Doering, Charles R.; Constantin, Peter 27 2001 Local smoothing properties of Schrödinger equations. Zbl 0712.35022Constantin, Peter; Saut, Jean-Claude 27 1989 Existence of solutions to the Stommel-Charney model of the gulf stream. Zbl 0679.76108Barcilon, V.; Constantin, P.; Titi, E. S. 27 1988 The inviscid limit for non-smooth vorticity. Zbl 0859.76015Constantin, Peter; Wu, Jiahong 26 1996 On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M. 25 2016 Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad 25 2014 Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\). Zbl 1151.35068Constantin, P.; Ramos, F. 25 2007 Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A. 25 2007 On the large time Galerkin approximation of the Navier-Stokes equations. Zbl 0551.76021Constantin, P.; Foiaş, Ciprian; Temam, R. 24 1984 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 23 2017 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073Constantin, Peter; Kukavica, Igor; Vicol, Vlad 23 2015 Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057Constantin, Peter 23 2005 Heat transfer in convective turbulence. Zbl 0899.35078Constantin, Peter; Doering, Charles R. 21 1996 A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Zbl 1144.81329Chernyshenko, Sergei I.; Constantin, Peter; Robinson, James C.; Titi, Edriss S. 20 2007 Asymptotic states of a Smoluchowski equation. Zbl 1086.76003Constantin, P.; Kevrekidis, I. G.; Titi, E. S. 20 2004 Analytic study of shell models of turbulence. Zbl 1113.34044Constantin, Peter; Levant, Boris; Titi, Edriss S. 19 2006 Quenching of flames by fluid advection. Zbl 1032.35087Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid 19 2001 Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416Chae, Dongho; Constantin, Peter; Wu, Jiahong 18 2012 New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong 18 2012 Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence. Zbl 0827.76033Constantin, Peter; Foias, Ciprian; Manley, Oscar P. 18 1994 Remarks on a Smoluchowski equation. Zbl 1138.35336Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S. 17 2004 On the evolution of nearly circular vortex patches. Zbl 0673.76025Constantin, P.; Titi, E. S. 17 1988 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084Constantin, Peter; Seregin, Gregory 16 2010 Bounds for heat transport in a porous layer. Zbl 0933.76090Doering, Charles R.; Constantin, Peter 16 1998 Exponential decay of the power spectrum of turbulence. Zbl 1081.35505Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P. 16 1995 Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 15 2014 Flame enhancement and quenching in fluid flows. Zbl 1068.76570Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid 15 2003 The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017Constantin, Peter 15 2000 Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J. 15 1997 Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247Constantin, Peter; Ignatova, Mihaela 14 2017 Critical SQG in bounded domains. Zbl 1397.35202Constantin, Peter; Ignatova, Mihaela 14 2016 Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201Constantin, Peter; Sun, Weiran 14 2012 Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad 13 2016 Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028Constantin, Peter; Vukadinovic, Jesenko 13 2005 Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388Constantin, Peter 12 2008 Global weak solutions for SQG in bounded domains. Zbl 1402.35282Constantin, Peter; Nguyen, Huy Quang 11 2018 Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135Constantin, Peter; Vicol, Vlad; Wu, Jiahong 11 2015 Euler and Navier-Stokes equations. Zbl 1152.76016Constantin, Peter 11 2008 Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya 11 2006 Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko 11 2005 Variational bounds in dissipative systems. Zbl 0900.35049Constantin, Peter; Doering, Charles 11 1995 Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057Constantin, Peter; Vicol, Vlad 10 2018 Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. Zbl 1373.35239Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 10 2017 An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213Chae, Dongho; Constantin, Peter; Wu, Jiahong 10 2014 A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018Constantin, Peter; Iyer, Gautam 10 2011 Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya 10 2006 A few results and open problems regarding incompressible fluids. Zbl 1047.76509Constantin, Peter 10 1995 Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006Constantin, Peter; Nguyen, Huy Quang 9 2018 Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence. Zbl 1182.76565Ohkitani, K.; Constantin, P. 8 2008 Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007Constantin, Peter 8 2003 The Littlewood-Paley spectrum in two-dimensional turbulence. Zbl 0907.76042Constantin, Peter 8 1997 Inelastic collisions of three particles on a line as a two-dimensional billiard. Zbl 0900.70198Constantin, Peter; Grossman, Elizabeth; Mungan, Muhittin 8 1995 Scaling exponents in fluid turbulence: Some analytic results. Zbl 0839.76038Constantin, Peter; Fefferman, Charles 8 1994 Inviscid limit for SQG in bounded domains. Zbl 1405.35158Constantin, Peter; Ignatova, Mihaela; Nguyen, Huy Q. 7 2018 Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158Chae, Dongho; Constantin, Peter 7 2015 Compressible fluids and active potentials. Zbl 1430.35185Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico 6 2020 Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications. Zbl 1427.35189Constantin, Peter; La, Joonhyun; Vicol, Vlad 5 2019 Vorticity measures and the inviscid limit. Zbl 1428.35352Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad 3 2019 On the Nernst-Planck-Navier-Stokes system. Zbl 07045536Constantin, Peter; Ignatova, Mihaela 2 2019 Global weak solutions for SQG in bounded domains. Zbl 1402.35282Constantin, Peter; Nguyen, Huy Quang 11 2018 Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057Constantin, Peter; Vicol, Vlad 10 2018 Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006Constantin, Peter; Nguyen, Huy Quang 9 2018 Inviscid limit for SQG in bounded domains. Zbl 1405.35158Constantin, Peter; Ignatova, Mihaela; Nguyen, Huy Q. 7 2018 On singularity formation in a Hele-Shaw model. Zbl 1421.76073Constantin, Peter; Elgindi, Tarek; Nguyen, Huy; Vicol, Vlad 1 2018 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 23 2017 Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247Constantin, Peter; Ignatova, Mihaela 14 2017 Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. Zbl 1373.35239Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 10 2017 Analysis of hydrodynamic models. Zbl 1402.76003Constantin, Peter 5 2017 On some electroconvection models. Zbl 1442.35440Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 1 2017 Nonlocal nonlinear advection-diffusion equations. Zbl 1364.35261Constantin, Peter 1 2017 On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M. 25 2016 Critical SQG in bounded domains. Zbl 1397.35202Constantin, Peter; Ignatova, Mihaela 14 2016 Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad 13 2016 Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233Constantin, Peter; Kukavica, Igor; Vicol, Vlad 5 2016 Long time dynamics of forced critical SQG. Zbl 1316.35238Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 42 2015 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073Constantin, Peter; Kukavica, Igor; Vicol, Vlad 23 2015 Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135Constantin, Peter; Vicol, Vlad; Wu, Jiahong 11 2015 Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158Chae, Dongho; Constantin, Peter 7 2015 Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008Constantin, Peter 5 2015 Far-field perturbations of vortex patches. Zbl 1353.76011Constantin, Peter 1 2015 Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad 25 2014 Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 15 2014 An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213Chae, Dongho; Constantin, Peter; Wu, Jiahong 10 2014 Local formulae for the hydrodynamic pressure and applications. Zbl 1301.35085Constantin, P. 3 2014 On the global existence for the Muskat problem. Zbl 1258.35002Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M. 47 2013 Complex fluids and Lagrangian particles. Zbl 1301.35101Constantin, Peter 3 2013 Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078Constantin, Peter; Vicol, Vlad 131 2012 Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 58 2012 Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006Constantin, Peter; Kliegl, Markus 34 2012 Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416Chae, Dongho; Constantin, Peter; Wu, Jiahong 18 2012 New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong 18 2012 Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201Constantin, Peter; Sun, Weiran 14 2012 Remarks on complex fluid models. Zbl 1296.76009Constantin, Peter 5 2012 Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109Chae, Dongho; Constantin, Peter; Wu, Jiahong 4 2012 Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010Chae, Dongho; Constantin, Peter; Wu, Jiahong 49 2011 A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018Constantin, Peter; Iyer, Gautam 10 2011 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084Constantin, Peter; Seregin, Gregory 16 2010 Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099Constantin, Peter; Seregin, Gregory 5 2010 On the high intensity limit of interacting corpora. Zbl 1191.82109Constantin, Peter; Zlatoš, Andrej 5 2010 Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010Constantin, Peter; Wu, Jiahong 42 2009 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 88 2008 Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052Constantin, Peter; Wu, Jiahong 63 2008 Diffusion and mixing in fluid flow. Zbl 1180.35084Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej 62 2008 A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048Constantin, Peter; Iyer, Gautam 46 2008 Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059Constantin, Peter; Iyer, Gautam; Wu, Jiahong 43 2008 Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069Constantin, P.; Masmoudi, Nader 36 2008 Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388Constantin, Peter 12 2008 Euler and Navier-Stokes equations. Zbl 1152.76016Constantin, Peter 11 2008 Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence. Zbl 1182.76565Ohkitani, K.; Constantin, P. 8 2008 Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia 4 2008 Relaxation in reactive flows. Zbl 1177.35119Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya 2 2008 Partial differential equation problems from simple to complex fluids. Zbl 1158.35071Constantin, Peter 1 2008 On the Euler equations of incompressible fluids. Zbl 1132.76009Constantin, Peter 82 2007 Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\). Zbl 1151.35068Constantin, P.; Ramos, F. 25 2007 Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A. 25 2007 A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Zbl 1144.81329Chernyshenko, Sergei I.; Constantin, Peter; Robinson, James C.; Titi, Edriss S. 20 2007 Smoluchowski Navier-Stokes systems. Zbl 1188.35142Constantin, Peter 5 2007 Sharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulence. Zbl 1115.76025Constantin, Peter; Levant, Boris; Titi, Edriss S. 5 2007 Eulerian-Lagrangian formalism and vortex reconnection. Zbl 1175.35109Constantin, P. 1 2007 Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146Constantin, Peter 67 2006 Analytic study of shell models of turbulence. Zbl 1113.34044Constantin, Peter; Levant, Boris; Titi, Edriss S. 19 2006 Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya 11 2006 Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya 10 2006 Stochastic Lagrangian transport and generalized relative entropies. Zbl 1120.35046Constantin, Peter; Iyer, Gautam 3 2006 Existence of pulsating waves in a model of flames in sprays. Zbl 1110.35007Constantin, Peter; Domelevo, Komla; Roquejoffre, Jean-Michel; Ryzhik, Lenya 3 2006 Generalized relative entropies and stochastic representation. Zbl 1237.76151Constantin, Peter 1 2006 Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057Constantin, Peter 23 2005 Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028Constantin, Peter; Vukadinovic, Jesenko 13 2005 Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko 11 2005 Asymptotic states of a Smoluchowski equation. Zbl 1086.76003Constantin, P.; Kevrekidis, I. G.; Titi, E. S. 20 2004 Remarks on a Smoluchowski equation. Zbl 1138.35336Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S. 17 2004 Transport in rotating fluids. Zbl 1057.76064Constantin, Peter 2 2004 Flame enhancement and quenching in fluid flows. Zbl 1068.76570Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid 15 2003 Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007Constantin, Peter 8 2003 Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations. Zbl 1186.76401Ohkitani, K.; Constantin, P. 6 2003 Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya 6 2003 Filtered viscous fluid equations. Zbl 1048.76017Constantin, P. 1 2003 On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004Constantin, Peter; Cordoba, Diego; Wu, Jiahong 110 2001 An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009Constantin, Peter 31 2001 An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020Constantin, Peter 29 2001 On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520Doering, Charles R.; Constantin, Peter 27 2001 Quenching of flames by fluid advection. Zbl 1032.35087Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid 19 2001 Some open problems and research directions in the mathematical study of fluid dynamics. Zbl 1047.35110Constantin, Peter 7 2001 Logarithmic bounds for infinite Prandtl number rotating convection. Zbl 1061.76519Constantin, Peter; Hallstrom, Chris; Poutkaradze, Vachtang 6 2001 Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid 46 2000 The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017Constantin, Peter 15 2000 Navier-Stokes equations and fluid turbulence. Zbl 1002.76038Constantin, P. 2 2000 Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093Constantin, Peter; Wu, Jiahong 173 1999 Infinite Prandtl number convection. Zbl 0935.76083Constantin, Peter; Doering, Charles R. 50 1999 Diffusion, attraction and collapse. Zbl 0942.35018Brenner, Michael P.; Constantin, Peter; Kadanoff, Leo P.; Schenkel, Alain; Venkataramani, Shankar C. 47 1999 Heat transport in rotating convection. Zbl 0941.76037Constantin, Peter; Hallstrom, Chris; Putkaradze, Vachtang 7 1999 Nonsingular surface quasi-geostrophic flow. Zbl 0974.76512Constantin, Peter; Nie, Qing; Schörghofer, Norbert 30 1998 Bounds for heat transport in a porous layer. Zbl 0933.76090Doering, Charles R.; Constantin, Peter 16 1998 Scaling exponents for active scalars. Zbl 0929.76060Constantin, Peter 7 1998 Absence of proper nondegenerate generalized self-similar singularities. Zbl 0945.76007Constantin, Peter 1 1998 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,643 Authors 89 Titi, Edriss Saleh 73 Constantin, Peter 46 Wu, Jiahong 44 Chae, Dongho 44 Foiaş, Ciprian Ilie 39 Cordoba, Diego 39 Temam, Roger Meyer 39 Vicol, Vlad C. 38 Kukavica, Igor 29 Jolly, Michael S. 28 Guo, Boling 26 Robinson, James Cooper 24 Doering, Charles R. 24 Gancedo, Francisco 24 Gibbon, John D. 23 Ye, Zhuan 22 Zhang, Zhifei 20 Kiselev, Alexander A. 20 Shvydkoy, Roman V. 19 Cheskidov, Alexey 19 Grujić, Zoran 19 Hou, Thomas Yizhao 19 Masmoudi, Nader 18 Li, Dong 18 Wang, Xiaoming 17 Duan, Jinqiao 17 Eyink, Gregory L. 16 Bedrossian, Jacob 16 Berselli, Luigi Carlo 16 Elgindi, Tarek Mohamed 16 Rodrigo, José Luis 16 Vega, Luis 15 Gao, Hongjun 15 Ohkitani, Koji 15 Yamazaki, Kazuo 14 Castro, Ángel 14 Dascaliuc, Radu 14 Dong, Boqing 14 Fefferman, Charles Louis 14 Granero Belinchón, Rafael 14 Nicolaenko, Basil 13 Biswas, Animikh 13 Glatt-Holtz, Nathan E. 13 Ponce, Gustavo 13 Ryzhik, Lenya 13 Vasseur, Alexis F. 13 Zlatoš, Andrej 12 Drivas, Theodore Dimitrios 12 Hmidi, Taoufik 12 Ilyin, Alexei A. 12 Tran, Chuong V. 12 Xu, Xiaojing 12 Xue, Liutang 11 Chepyzhov, Vladimir V. 11 Chueshov, Igor’ Dmitrievich 11 Coti Zelati, Michele 11 Hamel, François 11 Kenig, Carlos Eduardo 11 Majda, Andrew J. 11 Székelyhidi, László jun. 11 Tadmor, Eitan 11 Xin, Zhouping 10 Bardos, Claude Williams 10 Bauer, Martin 10 De Lellis, Camillo 10 Eden, Alp 10 Ferreira, Lucas Catão de Freitas 10 Friedlander, Susan Jean 10 Hoang, Luan Thach 10 Ignatova, Mihaela 10 Lin, Fang Hua 10 Lopes Filho, Milton da Costa 10 Nussenzveig Lopes, Helena Judith 10 Olson, Eric J. 10 Rosa, Ricardo M. S. 10 Sell, George Roger 10 Wang, Baoxiang 10 Ziane, Mohammed 9 Berestycki, Henri 9 Bertozzi, Andrea Louise 9 Bessaih, Hakima 9 Córdoba Barba, Antonio Juan 9 Gómez-Serrano, Javier 9 Holm, Darryl D. 9 Kevrekidis, Ioannis George 9 Pizzocchero, Livio 9 Razafimandimby, Paul André 9 Saut, Jean-Claude 9 Zhang, Bingyu 9 Zhang, Zujin 8 Bae, Hantaek 8 Beirão da Veiga, Hugo 8 Cao, Chongsheng 8 Caraballo Garrido, Tomás 8 Chen, Qionglei 8 Chen, Zhimin 8 Dai, Mimi 8 Dong, Hongjie 8 Farhat, Aseel 8 Feireisl, Eduard ...and 2,543 more Authors all top 5 Cited in 299 Serials 191 Journal of Differential Equations 147 Physica D 146 Communications in Mathematical Physics 130 Journal of Mathematical Analysis and Applications 119 Archive for Rational Mechanics and Analysis 92 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 83 Journal of Mathematical Physics 66 Journal of Fluid Mechanics 61 Journal of Mathematical Fluid Mechanics 59 Annales de l’Institut Henri Poincaré. 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Mathematics 7 Theoretical and Computational Fluid Dynamics 7 Chaos, Solitons and Fractals 7 Quarterly of Applied Mathematics 7 Applications of Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Journal of the European Mathematical Society (JEMS) 7 Communications in Nonlinear Science and Numerical Simulation 7 Communications in Contemporary Mathematics 7 Boundary Value Problems 7 Complex Variables and Elliptic Equations 6 Duke Mathematical Journal 6 Journal of Mathematical Sciences (New York) 6 European Journal of Mechanics. B. Fluids 6 SIAM Journal on Applied Dynamical Systems 6 Evolution Equations and Control Theory 5 Bulletin of the Australian Mathematical Society 5 Physics of Fluids, A 5 Journal of Optimization Theory and Applications 5 Stochastic Analysis and Applications 5 Japan Journal of Industrial and Applied Mathematics 5 Geometric and Functional Analysis. GAFA 5 Nonlinear Dynamics 5 M2AN. 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Serie Quarta 4 The Annals of Probability 4 Mathematics and Computers in Simulation ...and 199 more Serials all top 5 Cited in 51 Fields 2,317 Partial differential equations (35-XX) 1,650 Fluid mechanics (76-XX) 322 Dynamical systems and ergodic theory (37-XX) 193 Numerical analysis (65-XX) 178 Geophysics (86-XX) 169 Probability theory and stochastic processes (60-XX) 120 Ordinary differential equations (34-XX) 105 Statistical mechanics, structure of matter (82-XX) 70 Biology and other natural sciences (92-XX) 67 Classical thermodynamics, heat transfer (80-XX) 66 Global analysis, analysis on manifolds (58-XX) 63 Operator theory (47-XX) 61 Systems theory; control (93-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 49 Real functions (26-XX) 32 Functional analysis (46-XX) 29 Mechanics of deformable solids (74-XX) 22 Differential geometry (53-XX) 20 Measure and integration (28-XX) 20 Integral equations (45-XX) 20 Optics, electromagnetic theory (78-XX) 20 Quantum theory (81-XX) 15 Mechanics of particles and systems (70-XX) 9 Potential theory (31-XX) 9 Statistics (62-XX) 7 Functions of a complex variable (30-XX) 6 General topology (54-XX) 6 Astronomy and astrophysics (85-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Information and communication theory, circuits (94-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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