Edit Profile (opens in new tab) Constantin, Peter Co-Author Distance Author ID: constantin.peter Published as: Constantin, Peter; Constantin, P.; Constantin, Petre more...less Homepage: https://web.math.princeton.edu/~const/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 186 Publications since 1983, including 5 Books and 2 Additional arXiv Preprints 3 Contributions as Editor · 4 Further Contributions Co-Authors: 86 Co-Authors with 139 Joint Publications 3,138 Co-Co-Authors all top 5 Co-Authors 52 single-authored 17 Wu, Jiahong 16 Vicol, Vlad C. 15 Foiaș, Ciprian 15 Titi, Edriss Saleh 12 Ignatova, Mihaela 10 Ryzhik, Lenya 9 Chae, Dongho 9 Temam, Roger Meyer 7 Doering, Charles Rogers 6 Drivas, Theodore Dimitrios 6 Kiselev, Alexander A. 6 Majda, Andrew Joseph 6 Seregin, Gregory A. 5 Fefferman, Charles Louis 5 Nguyen, Huy Quang 4 Cordoba, Diego 4 Elgindi, Tarek Mohamed 4 Gancedo, Francisco 4 Iyer, Gautam 4 Kukavica, Igor 4 Lee, Fizay-Noah 4 Manley, Oscar P. 4 Saut, Jean-Claude 3 Friedlander, Susan Jean 3 Ginsberg, Daniel 3 Kadanoff, Leo Philip 3 Nicolaenko, Basil 3 Shvydkoy, Roman V. 2 Bercovici, Hari 2 Bertozzi, Andrea Louise 2 Cheskidov, Alexey 2 E, Weinan 2 Gibbon, John D. 2 Hallstrom, Chris 2 Kevrekidis, Ioannis George 2 La, Joonhyun 2 Levant, Boris 2 Nie, Qing 2 Ohkitani, Koji 2 Pasqualotto, Federico 2 Putkaradze, Vakhtang 2 Roquejoffre, Jean-Michel 2 Růžička, Michael 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 Becker, Robert A. 1 Beirão da Veiga, Hugo 1 Berestycki, Henri 1 Berselli, Luigi Carlo 1 Biswas, Animikh 1 Brenner, Michael P. 1 Buckmaster, Tristan 1 Caflisch, Russ 1 Čanić, Sunčica 1 Cannone, Marco 1 Chen, Nan 1 Chernyshenko, Sergei I. 1 Coti Zelati, Michele 1 Debussche, Arnaud 1 Domelevo, Komla 1 Eden, Alp 1 Engquist, Bjorn E. 1 Flandoli, Franco 1 Frazho, Art 1 Galdi, Giovanni Paolo 1 Gallavotti, Giovanni M. 1 Gisselfält, Magnus 1 Glatt-Holtz, Nathan E. 1 Grossman, Elizabeth 1 Jolly, Michael Summerfield 1 Kazhikov, Aleksandr Vasil’evich 1 Keller, Gerta 1 Khouider, Boualem 1 Klein, Rupert 1 Kliegl, Markus 1 Kramer, Peter Roland 1 Lai, Mingchih 1 Lax, Peter David 1 Lewicka, Marta 1 Lions, Pierre-Louis 1 Lopes Filho, Milton da Costa 1 Malek-Madani, Reza 1 Masmoudi, Nader 1 Mazzucato, Anna L. 1 McLaughlin, Dave 1 McLaughlin, Richard M. 1 Meyer, Yves 1 Miyakawa, Tetsuro 1 Mungan, Muhittin 1 Novikov, Alexei 1 Nussenzveig Lopes, Helena Judith 1 Oberman, Adam M. 1 Osher, Stanley Joel 1 Pearcy, Carl Mark Jr. ...and 24 more Co-Authors all top 5 Serials 16 Communications in Mathematical Physics 15 Nonlinearity 11 Physica D 9 Archive for Rational Mechanics and Analysis 9 Communications on Pure and Applied Mathematics 8 Indiana University Mathematics Journal 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 IMRN. International Mathematics Research Notices 5 SIAM Journal on Mathematical Analysis 5 Physics of Fluids 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Journal of Nonlinear Science 4 Communications in Mathematical Sciences 3 Advances in Mathematics 3 Geometric and Functional Analysis. GAFA 3 Notices of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Fluid Mechanics 3 Oberwolfach Reports 3 Lecture Notes in Mathematics 2 Journal of Fluid Mechanics 2 Journal of the American Mathematical Society 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 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 Journal of Evolution Equations 1 Applied Mathematical Sciences 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Philosophical Transactions A. Royal Society of London 1 Pure and Applied Functional Analysis all top 5 Fields 160 Partial differential equations (35-XX) 149 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 General and overarching topics; collections (00-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Biology and other natural sciences (92-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 171 Publications have been cited 7,575 times in 4,418 Documents Cited by ▼ Year ▼ Navier-Stokes equations. Zbl 0687.35071 Constantin, Peter; Foias, Ciprian 829 1988 Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057 Constantin, Peter; Majda, Andrew J.; Tabak, Esteban 400 1994 Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Zbl 0818.35085 Constantin, Peter; E, Weinan; Titi, Edriss S. 289 1994 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002 Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 233 1989 Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093 Constantin, Peter; Wu, Jiahong 231 1999 Local smoothing properties of dispersive equations. Zbl 0667.35061 Constantin, P.; Saut, J. C. 196 1988 Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078 Constantin, Peter; Vicol, Vlad 190 2012 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020 Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 182 2008 Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Zbl 0837.35113 Constantin, Peter; Fefferman, Charles 147 1993 Diffusion and mixing in fluid flow. Zbl 1180.35084 Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej 145 2008 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029 Constantin, P.; Lax, P. D.; Majda, A. 144 1985 Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146 Constantin, Peter 144 2006 On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004 Constantin, Peter; Cordoba, Diego; Wu, Jiahong 133 2001 Attractors representing turbulent flows. Zbl 0567.35070 Constantin, P.; Foiaş, Ciprian; Temam, R. 131 1985 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091 Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 125 1996 On the Euler equations of incompressible fluids. Zbl 1132.76009 Constantin, Peter 118 2007 Global regularity for vortex patches. Zbl 0771.76014 Bertozzi, A. L.; Constantin, P. 118 1993 Geometric statistics in turbulence. Zbl 0803.35106 Constantin, Peter 116 1994 Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108 Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 110 2012 Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractors for 2D Navier-Stokes equations. Zbl 0582.35092 Constantin, P.; Foiaş, Ciprian 99 1985 Infinite Prandtl number convection. Zbl 0935.76083 Constantin, Peter; Doering, Charles R. 90 1999 Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations. Zbl 0655.76041 Constantin, Petre 88 1986 Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054 Constantin, P.; Foias, C.; Manley, O. P.; Temam, R. 85 1985 On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030 Constantin, P.; Foias, C.; Temam, R. 84 1988 On the global existence for the Muskat problem. Zbl 1258.35002 Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M. 84 2013 On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation. Zbl 0702.76061 Bartuccelli, Michele; Constantin, Petre; Doering, Charles R.; Gibbon, John D.; Gisselfält, Magnus 82 1990 Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052 Constantin, Peter; Wu, Jiahong 80 2008 Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006 Constantin, Peter; Kliegl, Markus 80 2012 Long time dynamics of forced critical SQG. Zbl 1316.35238 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 79 2015 Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010 Chae, Dongho; Constantin, Peter; Wu, Jiahong 76 2011 A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048 Constantin, Peter; Iyer, Gautam 67 2008 Global solutions for small data to the Hele-Shaw problem. Zbl 0808.35104 Constantin, P.; Pugh, M. 61 1993 Diffusion, attraction and collapse. Zbl 0942.35018 Brenner, Michael P.; Constantin, Peter; Kadanoff, Leo P.; Schenkel, Alain; Venkataramani, Shankar C. 61 1999 Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010 Constantin, Peter; Wu, Jiahong 60 2009 Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059 Constantin, Peter; Iyer, Gautam; Wu, Jiahong 59 2008 Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093 Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid 56 2000 On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053 Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M. 55 2016 Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024 Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R. 54 1989 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304 Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 52 2017 Inviscid limit for vortex patches. Zbl 0832.76011 Constantin, Peter; Wu, Jiahong 51 1995 Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014 Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G. 47 1994 Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069 Constantin, P.; Masmoudi, Nader 46 2008 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073 Constantin, Peter; Kukavica, Igor; Vicol, Vlad 44 2015 Heat transfer in convective turbulence. Zbl 0899.35078 Constantin, Peter; Doering, Charles R. 41 1996 Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078 Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad 41 2014 Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\). Zbl 1151.35068 Constantin, P.; Ramos, F. 40 2007 Navier-Stokes equations and area of interfaces. Zbl 0725.35080 Constantin, Peter 40 1990 An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009 Constantin, Peter 39 2001 Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247 Constantin, Peter; Ignatova, Mihaela 39 2017 On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520 Doering, Charles R.; Constantin, Peter 38 2001 The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049 Constantin, Peter; Majda, Andrew 38 1988 Nonsingular surface quasi-geostrophic flow. Zbl 0974.76512 Constantin, Peter; Nie, Qing; Schörghofer, Norbert 37 1998 On the Nernst-Planck-Navier-Stokes system. Zbl 1472.82037 Constantin, Peter; Ignatova, Mihaela 37 2019 The inviscid limit for non-smooth vorticity. Zbl 0859.76015 Constantin, Peter; Wu, Jiahong 36 1996 An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020 Constantin, Peter 36 2001 Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057 Constantin, Peter 35 2005 Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043 Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A. 34 2007 New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001 Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong 33 2012 Local smoothing properties of Schrödinger equations. Zbl 0712.35022 Constantin, Peter; Saut, Jean-Claude 33 1989 Critical SQG in bounded domains. Zbl 1397.35202 Constantin, Peter; Ignatova, Mihaela 32 2016 Existence of solutions to the Stommel-Charney model of the gulf stream. Zbl 0679.76108 Barcilon, V.; Constantin, P.; Titi, E. S. 31 1988 Analytic study of shell models of turbulence. Zbl 1113.34044 Constantin, Peter; Levant, Boris; Titi, Edriss S. 30 2006 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 1427.35189 Constantin, Peter; La, Joonhyun; Vicol, Vlad 30 2019 Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135 Constantin, Peter; Vicol, Vlad; Wu, Jiahong 28 2015 On the large time Galerkin approximation of the Navier-Stokes equations. Zbl 0551.76021 Constantin, P.; Foiaş, Ciprian; Temam, R. 27 1984 Quenching of flames by fluid advection. Zbl 1032.35087 Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid 26 2001 Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416 Chae, Dongho; Constantin, Peter; Wu, Jiahong 26 2012 Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. Zbl 1373.35239 Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 26 2017 Compressible fluids and active potentials. Zbl 1430.35185 Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico 25 2020 Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057 Constantin, Peter; Vicol, Vlad 25 2018 Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201 Constantin, Peter; Sun, Weiran 25 2012 Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006 Constantin, Peter; Nguyen, Huy Quang 25 2018 Asymptotic states of a Smoluchowski equation. Zbl 1086.76003 Constantin, P.; Kevrekidis, I. G.; Titi, E. S. 24 2004 Flexibility and rigidity in steady fluid motion. Zbl 1467.76013 Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel 24 2021 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. 23 2007 Bounds for heat transport in a porous layer. Zbl 0933.76090 Doering, Charles R.; Constantin, Peter 23 1998 Global weak solutions for SQG in bounded domains. Zbl 1402.35282 Constantin, Peter; Nguyen, Huy Quang 23 2018 Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 23 2014 The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017 Constantin, Peter 22 2000 A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018 Constantin, Peter; Iyer, Gautam 21 2011 On the evolution of nearly circular vortex patches. Zbl 0673.76025 Constantin, P.; Titi, E. S. 21 1988 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084 Constantin, Peter; Seregin, Gregory 21 2010 Remarks on a Smoluchowski equation. Zbl 1138.35336 Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S. 20 2004 Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence. Zbl 0827.76033 Constantin, Peter; Foias, Ciprian; Manley, Oscar P. 20 1994 Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158 Chae, Dongho; Constantin, Peter 20 2015 Flame enhancement and quenching in fluid flows. Zbl 1068.76570 Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid 19 2003 Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283 Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad 19 2016 High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation. Zbl 1481.35321 Constantin, Peter; Wu, Jiahong; Zhao, Jiefeng; Zhu, Yi 18 2021 An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213 Chae, Dongho; Constantin, Peter; Wu, Jiahong 18 2014 Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028 Constantin, Peter; Vukadinovic, Jesenko 16 2005 Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469 Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya 16 2006 Exponential decay of the power spectrum of turbulence. Zbl 1081.35505 Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P. 16 1995 Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 1471.35230 Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah 16 2021 Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085 Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J. 15 1997 Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008 Constantin, Peter 15 2015 Variational bounds in dissipative systems. Zbl 0900.35049 Constantin, Peter; Doering, Charles 14 1995 Inviscid limit of vorticity distributions in the Yudovich class. Zbl 1506.35138 Constantin, Peter; Drivas, Theodore D.; Elgindi, Tarek M. 14 2022 Analysis of hydrodynamic models. Zbl 1402.76003 Constantin, Peter 14 2017 Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388 Constantin, Peter 13 2008 Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007 Constantin, Peter 13 2003 Global regularity for critical SQG in bounded domains. Zbl 07946997 Constantin, Peter; Ignatova, Mihaela; Nguyen, Quoc-Hung 1 2025 Magnetic relaxation of a Voigt-MHD system. Zbl 1529.35371 Constantin, Peter; Pasqualotto, Federico 4 2023 Inviscid limit of vorticity distributions in the Yudovich class. Zbl 1506.35138 Constantin, Peter; Drivas, Theodore D.; Elgindi, Tarek M. 14 2022 Nernst-Planck-Navier-Stokes systems near equilibrium. Zbl 1483.35149 Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah 10 2022 Flexibility and rigidity of free boundary MHD equilibria. Zbl 1490.76231 Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel 6 2022 Existence and stability of nonequilibrium steady states of Nernst-Planck-Navier-Stokes systems. Zbl 07631009 Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah 4 2022 On a type I singularity condition in terms of the pressure for the Euler equations in \(\mathbb{R}^3\). Zbl 1492.35195 Chae, Dongho; Constantin, Peter 2 2022 Flexibility and rigidity in steady fluid motion. Zbl 1467.76013 Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel 24 2021 High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation. Zbl 1481.35321 Constantin, Peter; Wu, Jiahong; Zhao, Jiefeng; Zhu, Yi 18 2021 Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 1471.35230 Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah 16 2021 Interior electroneutrality in Nernst-Planck-Navier-Stokes systems. Zbl 1484.35318 Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah 10 2021 Remarks on type I blow-up for the 3D Euler equations and the 2D Boussinesq equations. Zbl 1476.35184 Chae, Dongho; Constantin, Peter 4 2021 Compressible fluids and active potentials. Zbl 1430.35185 Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico 25 2020 Entropy hierarchies for equations of compressible fluids and self-organized dynamics. Zbl 1444.92139 Constantin, Peter; Drivas, Theodore D.; Shvydkoy, Roman 13 2020 Estimates near the boundary for critical SQG. Zbl 1439.35393 Constantin, Peter; Ignatova, Mihaela 7 2020 Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. Zbl 1448.76006 1 2020 On the Nernst-Planck-Navier-Stokes system. Zbl 1472.82037 Constantin, Peter; Ignatova, Mihaela 37 2019 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 1427.35189 Constantin, Peter; La, Joonhyun; Vicol, Vlad 30 2019 Vorticity measures and the inviscid limit. Zbl 1428.35352 Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad 10 2019 Note on Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1410.35111 Constantin, Peter; La, Joonhyun 2 2019 Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057 Constantin, Peter; Vicol, Vlad 25 2018 Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006 Constantin, Peter; Nguyen, Huy Quang 25 2018 Global weak solutions for SQG in bounded domains. Zbl 1402.35282 Constantin, Peter; Nguyen, Huy Quang 23 2018 Inviscid limit for SQG in bounded domains. Zbl 1405.35158 Constantin, Peter; Ignatova, Mihaela; Nguyen, Huy Q. 12 2018 On singularity formation in a Hele-Shaw model. Zbl 1421.76073 Constantin, Peter; Elgindi, Tarek; Nguyen, Huy; Vicol, Vlad 5 2018 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304 Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 52 2017 Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247 Constantin, Peter; Ignatova, Mihaela 39 2017 Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. Zbl 1373.35239 Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 26 2017 Analysis of hydrodynamic models. Zbl 1402.76003 Constantin, Peter 14 2017 On some electroconvection models. Zbl 1442.35440 Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 7 2017 Nonlocal nonlinear advection-diffusion equations. Zbl 1364.35261 Constantin, Peter 3 2017 On the Muskat problem: global in time results in 2D and 3D. Zbl 1369.35053 Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Rodríguez-Piazza, Luis; Strain, Robert M. 55 2016 Critical SQG in bounded domains. Zbl 1397.35202 Constantin, Peter; Ignatova, Mihaela 32 2016 Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283 Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad 19 2016 Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233 Constantin, Peter; Kukavica, Igor; Vicol, Vlad 13 2016 Navier Stokes equations: a quick reminder and a few remarks. Zbl 1351.35102 Constantin, Peter 1 2016 Long time dynamics of forced critical SQG. Zbl 1316.35238 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 79 2015 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073 Constantin, Peter; Kukavica, Igor; Vicol, Vlad 44 2015 Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135 Constantin, Peter; Vicol, Vlad; Wu, Jiahong 28 2015 Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158 Chae, Dongho; Constantin, Peter 20 2015 Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008 Constantin, Peter 15 2015 Far-field perturbations of vortex patches. Zbl 1353.76011 Constantin, Peter 2 2015 Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078 Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad 41 2014 Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 23 2014 An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213 Chae, Dongho; Constantin, Peter; Wu, Jiahong 18 2014 Local formulae for the hydrodynamic pressure and applications. Zbl 1301.35085 Constantin, P. 8 2014 On the global existence for the Muskat problem. Zbl 1258.35002 Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M. 84 2013 Complex fluids and Lagrangian particles. Zbl 1301.35101 Constantin, Peter 3 2013 Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078 Constantin, Peter; Vicol, Vlad 190 2012 Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108 Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong 110 2012 Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006 Constantin, Peter; Kliegl, Markus 80 2012 New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001 Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong 33 2012 Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416 Chae, Dongho; Constantin, Peter; Wu, Jiahong 26 2012 Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201 Constantin, Peter; Sun, Weiran 25 2012 Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109 Chae, Dongho; Constantin, Peter; Wu, Jiahong 8 2012 Remarks on complex fluid models. Zbl 1296.76009 Constantin, Peter 6 2012 Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010 Chae, Dongho; Constantin, Peter; Wu, Jiahong 76 2011 A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018 Constantin, Peter; Iyer, Gautam 21 2011 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084 Constantin, Peter; Seregin, Gregory 21 2010 Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099 Constantin, Peter; Seregin, Gregory 10 2010 On the high intensity limit of interacting corpora. Zbl 1191.82109 Constantin, Peter; Zlatoš, Andrej 6 2010 Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010 Constantin, Peter; Wu, Jiahong 60 2009 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020 Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 182 2008 Diffusion and mixing in fluid flow. Zbl 1180.35084 Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej 145 2008 Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052 Constantin, Peter; Wu, Jiahong 80 2008 A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048 Constantin, Peter; Iyer, Gautam 67 2008 Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059 Constantin, Peter; Iyer, Gautam; Wu, Jiahong 59 2008 Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069 Constantin, P.; Masmoudi, Nader 46 2008 Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388 Constantin, Peter 13 2008 Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence. Zbl 1182.76565 Ohkitani, K.; Constantin, P. 11 2008 Euler and Navier-Stokes equations. Zbl 1152.76016 Constantin, Peter 10 2008 Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085 Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia 8 2008 Relaxation in reactive flows. Zbl 1177.35119 Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya 4 2008 Partial differential equation problems from simple to complex fluids. Zbl 1158.35071 Constantin, Peter 1 2008 On the Euler equations of incompressible fluids. Zbl 1132.76009 Constantin, Peter 118 2007 Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\). Zbl 1151.35068 Constantin, P.; Ramos, F. 40 2007 Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043 Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A. 34 2007 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. 23 2007 Sharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulence. Zbl 1115.76025 Constantin, Peter; Levant, Boris; Titi, Edriss S. 6 2007 Smoluchowski Navier-Stokes systems. Zbl 1188.35142 Constantin, Peter 6 2007 Eulerian-Lagrangian formalism and vortex reconnection. Zbl 1175.35109 Constantin, P. 3 2007 Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146 Constantin, Peter 144 2006 Analytic study of shell models of turbulence. Zbl 1113.34044 Constantin, Peter; Levant, Boris; Titi, Edriss S. 30 2006 Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469 Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya 16 2006 Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076 Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya 13 2006 Existence of pulsating waves in a model of flames in sprays. Zbl 1110.35007 Constantin, Peter; Domelevo, Komla; Roquejoffre, Jean-Michel; Ryzhik, Lenya 4 2006 Stochastic Lagrangian transport and generalized relative entropies. Zbl 1120.35046 Constantin, Peter; Iyer, Gautam 3 2006 Generalized relative entropies and stochastic representation. Zbl 1237.76151 Constantin, Peter 2 2006 Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057 Constantin, Peter 35 2005 Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028 Constantin, Peter; Vukadinovic, Jesenko 16 2005 Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068 Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko 12 2005 Asymptotic states of a Smoluchowski equation. Zbl 1086.76003 Constantin, P.; Kevrekidis, I. G.; Titi, E. S. 24 2004 Remarks on a Smoluchowski equation. Zbl 1138.35336 Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S. 20 2004 Transport in rotating fluids. Zbl 1057.76064 Constantin, Peter 2 2004 Flame enhancement and quenching in fluid flows. Zbl 1068.76570 Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid 19 2003 Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007 Constantin, Peter 13 2003 Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations. Zbl 1186.76401 Ohkitani, K.; Constantin, P. 10 2003 Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068 Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya 8 2003 Filtered viscous fluid equations. Zbl 1048.76017 Constantin, P. 1 2003 On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004 Constantin, Peter; Cordoba, Diego; Wu, Jiahong 133 2001 ...and 71 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,807 Authors 109 Titi, Edriss Saleh 85 Constantin, Peter 66 Wu, Jiahong 53 Chae, Dongho 46 Kukavica, Igor 44 Cordoba, Diego 44 Foiaș, Ciprian 44 Vicol, Vlad C. 39 Temam, Roger Meyer 36 Jolly, Michael Summerfield 35 Gancedo, Francisco 35 Ye, Zhuan 31 Elgindi, Tarek Mohamed 31 Robinson, James Cooper 31 Zhang, Zhifei 30 Guo, Boling 30 Hou, Thomas Yizhao 27 Berselli, Luigi Carlo 27 Gibbon, John D. 27 Masmoudi, Nader 27 Yamazaki, Kazuo 26 Doering, Charles Rogers 26 Drivas, Theodore Dimitrios 24 Cheskidov, Alexey 24 Ignatova, Mihaela 24 Kiselev, Alexander A. 23 Jeong, In-Jee 23 Li, Dong 23 Shvydkoy, Roman V. 22 Eyink, Gregory L. 21 Bedrossian, Jacob 21 Coti Zelati, Michele 20 Biswas, Animikh 20 Grujić, Zoran 20 Xue, Liutang 19 Granero Belinchón, Rafael 19 Hmidi, Taoufik 19 Vasseur, Alexis F. 18 Castro, Ángel 18 Ohkitani, Koji 18 Wang, Xiaoming 18 Xu, Xiaojing 17 Dong, Boqing 17 Duan, Jinqiao 17 Feireisl, Eduard 17 Rodrigo, José Luis 17 Székelyhidi, László jun. 17 Vega, Luis 16 Friedlander, Susan Jean 16 Larios, Adam 16 Zlatoš, Andrej 15 Caraballo Garrido, Tomás 15 Dai, Mimi 15 Flandoli, Franco 15 Gao, Hongjun 15 Glatt-Holtz, Nathan E. 15 Hoang, Luan Thach 15 Nicolaenko, Basil 15 Wiedemann, Emil 15 Zhang, Zujin 14 Bauer, Martin 14 Dascaliuc, Radu 14 De Lellis, Camillo 14 Fefferman, Charles Louis 14 Ilyin, Aleksei A. 14 Nguyen, Huy Quang 14 Ryzhik, Lenya 14 Sun, Chunyou 14 Tadmor, Eitan 14 Wang, Yanqing 14 Ye, Yulin 14 Zelik, Sergey V. 13 Chepyzhov, Vladimir V. 13 Ferreira, Lucas Catão de Freitas 13 Gómez-Serrano, Javier 13 Hayashi, Nakao 13 Holm, Darryl Dallas 13 Lin, Fang Hua 13 Ponce, Gustavo 13 Qin, Guolin 13 Seis, Christian 13 Wang, Shu 13 Xin, Zhouping 13 Zhang, Bing-Yu 13 Ziane, Mohammed 12 De Rosa, Luigi 12 García-Archilla, Bosco 12 Kenig, Carlos Eduardo 12 Luo, Dejun 12 Martinez, Vincent R. 12 Novo, Julia 12 Olson, Eric J. 12 Peng, Shaolong 12 Peralta-Salas, Daniel 12 Shu, Ji 12 Tan, Changhui 12 Tran, Chuong V. 11 Alazard, Thomas 11 Bae, Hantaek 11 Bardos, Claude Williams ...and 3,707 more Authors all top 5 Cited in 416 Serials 279 Journal of Differential Equations 191 Physica D 182 Communications in Mathematical Physics 169 Archive for Rational Mechanics and Analysis 163 Journal of Mathematical Analysis and Applications 121 Journal of Mathematical Fluid Mechanics 110 Nonlinearity 109 Nonlinear Analysis. 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