## Constantin, Peter

Compute Distance To:
 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: 180 Publications since 1983, including 5 Books 3 Contributions as Editor · 2 Further Contributions Co-Authors: 85 Co-Authors with 133 Joint Publications 2,574 Co-Co-Authors
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### Co-Authors

 50 single-authored 17 Wu, Jiahong 15 Foiaş, Ciprian Ilie 15 Vicol, Vlad C. 14 Titi, Edriss Saleh 10 Ignatova, Mihaela 10 Ryzhik, Lenya 9 Chae, Dongho 8 Temam, Roger Meyer 7 Doering, Charles Rogers 6 Kiselev, Alexander A. 6 Majda, Andrew J. 6 Seregin, Gregory A. 5 Drivas, Theodore Dimitrios 5 Nguyen, Huy Quang 4 Cordoba, Diego 4 Elgindi, Tarek Mohamed 4 Fefferman, Charles Louis 4 Gancedo, Francisco 4 Iyer, Gautam 4 Manley, Oscar P. 3 Friedlander, Susan Jean 3 Kadanoff, Leo Philip 3 Kukavica, Igor 3 Lee, Fizay-Noah 3 Nicolaenko, Basil 3 Saut, Jean-Claude 3 Shvydkoy, Roman V. 2 Gibbon, John D. 2 Ginsberg, Daniel 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 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 Beirão da Veiga, Hugo 1 Bercovici, Hari 1 Berestycki, Henri 1 Berselli, Luigi Carlo 1 Bertozzi, Andrea Louise 1 Brenner, Michael P. 1 Buckmaster, Tristan 1 Čanić, Sunčica 1 Cannone, Marco 1 Chernyshenko, Sergei I. 1 Cheskidov, Alexey 1 Coti Zelati, Michele 1 Debussche, Arnaud 1 Domelevo, Komla 1 E, Weinan 1 Flandoli, Franco 1 Galdi, Giovanni Paolo 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 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 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 Venkataramani, Shankar C. 1 Zarnescu, Arghir Dani 1 Zhao, Jiefeng
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### Serials

 15 Communications in Mathematical Physics 15 Nonlinearity 10 Physica D 9 Archive for Rational Mechanics and Analysis 8 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 Discrete and Continuous Dynamical Systems 3 Oberwolfach Reports 3 Lecture Notes in Mathematics 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 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
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### Fields

 155 Partial differential equations (35-XX) 146 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Geophysics (86-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Statistical mechanics, structure of matter (82-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 Real functions (26-XX) 3 Biology and other natural sciences (92-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-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)

### Citations contained in zbMATH Open

160 Publications have been cited 5,514 times in 3,229 Documents Cited by Year
Navier-Stokes equations. Zbl 0687.35071
Constantin, Peter; Foias, Ciprian
1988
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban
1994
Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002
Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R.
1989
Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093
Constantin, Peter; Wu, Jiahong
1999
Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Zbl 0818.35085
Constantin, Peter; E, Weinan; Titi, Edriss S.
1994
Local smoothing properties of dispersive equations. Zbl 0667.35061
Constantin, P.; Saut, J. C.
1988
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
2012
Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Zbl 0837.35113
Constantin, Peter; Fefferman, Charles
1993
On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004
Constantin, Peter; Cordoba, Diego; Wu, Jiahong
2001
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
1985
Attractors representing turbulent flows. Zbl 0567.35070
Constantin, P.; Foiaş, Ciprian; Temam, R.
1985
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
2008
Geometric statistics in turbulence. Zbl 0803.35106
Constantin, Peter
1994
Geometric constraints on potentially singular solutions for the $$3-D$$ Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
1996
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
2008
On the Euler equations of incompressible fluids. Zbl 1132.76009
Constantin, Peter
2007
Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractors for 2D Navier-Stokes equations. Zbl 0582.35092
Constantin, P.; Foiaş, Ciprian
1985
Global regularity for vortex patches. Zbl 0771.76014
Bertozzi, A. L.; Constantin, P.
1993
Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146
Constantin, Peter
2006
Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054
Constantin, P.; Foias, C.; Manley, O. P.; Temam, R.
1985
On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030
Constantin, P.; Foias, C.; Temam, R.
1988
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
2012
Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations. Zbl 0655.76041
Constantin, Petre
1986
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052
Constantin, Peter; Wu, Jiahong
2008
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
1990
On the global existence for the Muskat problem. Zbl 1258.35002
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M.
2013
Infinite Prandtl number convection. Zbl 0935.76083
Constantin, Peter; Doering, Charles R.
1999
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2011
Global solutions for small data to the Hele-Shaw problem. Zbl 0808.35104
Constantin, P.; Pugh, M.
1993
Long time dynamics of forced critical SQG. Zbl 1316.35238
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
2015
Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006
Constantin, Peter; Kliegl, Markus
2012
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
2000
Diffusion, attraction and collapse. Zbl 0942.35018
Brenner, Michael P.; Constantin, Peter; Kadanoff, Leo P.; Schenkel, Alain; Venkataramani, Shankar C.
1999
Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059
Constantin, Peter; Iyer, Gautam; Wu, Jiahong
2008
A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048
Constantin, Peter; Iyer, Gautam
2008
Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024
Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R.
1989
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010
Constantin, Peter; Wu, Jiahong
2009
Inviscid limit for vortex patches. Zbl 0832.76011
Constantin, Peter; Wu, Jiahong
1995
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069
2008
Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304
Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad
2017
Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G.
1994
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.
2016
An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009
Constantin, Peter
2001
Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078
Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad
2014
Nonsingular surface quasi-geostrophic flow. Zbl 0974.76512
Constantin, Peter; Nie, Qing; Schörghofer, Norbert
1998
Navier-Stokes equations and area of interfaces. Zbl 0725.35080
Constantin, Peter
1990
The inviscid limit for non-smooth vorticity. Zbl 0859.76015
Constantin, Peter; Wu, Jiahong
1996
An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020
Constantin, Peter
2001
On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520
Doering, Charles R.; Constantin, Peter
2001
Local smoothing properties of Schrödinger equations. Zbl 0712.35022
Constantin, Peter; Saut, Jean-Claude
1989
The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049
Constantin, Peter; Majda, Andrew
1988
Existence of solutions to the Stommel-Charney model of the gulf stream. Zbl 0679.76108
Barcilon, V.; Constantin, P.; Titi, E. S.
1988
Heat transfer in convective turbulence. Zbl 0899.35078
Constantin, Peter; Doering, Charles R.
1996
Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043
Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A.
2007
Inviscid limit for damped and driven incompressible Navier-Stokes equations in $$\mathbb R^2$$. Zbl 1151.35068
Constantin, P.; Ramos, F.
2007
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2015
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
2005
On the large time Galerkin approximation of the Navier-Stokes equations. Zbl 0551.76021
Constantin, P.; Foiaş, Ciprian; Temam, R.
1984
A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Zbl 1144.81329
Chernyshenko, Sergei I.; Constantin, Peter; Robinson, James C.; Titi, Edriss S.
2007
Analytic study of shell models of turbulence. Zbl 1113.34044
Constantin, Peter; Levant, Boris; Titi, Edriss S.
2006
New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001
Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong
2012
Critical SQG in bounded domains. Zbl 1397.35202
Constantin, Peter; Ignatova, Mihaela
2016
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2012
Asymptotic states of a Smoluchowski equation. Zbl 1086.76003
Constantin, P.; Kevrekidis, I. G.; Titi, E. S.
2004
On the evolution of nearly circular vortex patches. Zbl 0673.76025
Constantin, P.; Titi, E. S.
1988
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247
Constantin, Peter; Ignatova, Mihaela
2017
Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201
Constantin, Peter; Sun, Weiran
2012
Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence. Zbl 0827.76033
Constantin, Peter; Foias, Ciprian; Manley, Oscar P.
1994
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
2001
Bounds for heat transport in a porous layer. Zbl 0933.76090
Doering, Charles R.; Constantin, Peter
1998
The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017
Constantin, Peter
2000
Remarks on a Smoluchowski equation. Zbl 1138.35336
Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S.
2004
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135
Constantin, Peter; Vicol, Vlad; Wu, Jiahong
2015
Exponential decay of the power spectrum of turbulence. Zbl 1081.35505
Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P.
1995
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
2010
Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283
Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad
2016
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
2003
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. Zbl 1307.35213
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2014
Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
2014
Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J.
1997
Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057
2018
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
2017
Global weak solutions for SQG in bounded domains. Zbl 1402.35282
Constantin, Peter; Nguyen, Huy Quang
2018
A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018
Constantin, Peter; Iyer, Gautam
2011
Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388
Constantin, Peter
2008
On the Nernst-Planck-Navier-Stokes system. Zbl 1472.82037
Constantin, Peter; Ignatova, Mihaela
2019
Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028
2005
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
2006
Variational bounds in dissipative systems. Zbl 0900.35049
Constantin, Peter; Doering, Charles
1995
Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068
Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko
2005
Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006
Constantin, Peter; Nguyen, Huy Quang
2018
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
2020
The Littlewood-Paley spectrum in two-dimensional turbulence. Zbl 0907.76042
Constantin, Peter
1997
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
2006
Euler and Navier-Stokes equations. Zbl 1152.76016
Constantin, Peter
2008
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
2019
A few results and open problems regarding incompressible fluids. Zbl 1047.76509
Constantin, Peter
1995
Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007
Constantin, Peter
2003
Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008
Constantin, Peter
2015
Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158
Chae, Dongho; Constantin, Peter
2015
Nernst-Planck-Navier-Stokes systems near equilibrium. Zbl 1483.35149
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
2022
Flexibility and rigidity in steady fluid motion. Zbl 1467.76013
Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel
2021
Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 1471.35230
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
2021
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation. Zbl 1481.35321
Constantin, Peter; Wu, Jiahong; Zhao, Jiefeng; Zhu, Yi
2021
Interior electroneutrality in Nernst-Planck-Navier-Stokes systems. Zbl 1484.35318
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
2021
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
2020
Estimates near the boundary for critical SQG. Zbl 1439.35393
Constantin, Peter; Ignatova, Mihaela
2020
On the Nernst-Planck-Navier-Stokes system. Zbl 1472.82037
Constantin, Peter; Ignatova, Mihaela
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
2019
Vorticity measures and the inviscid limit. Zbl 1428.35352
Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad
2019
Note on Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1410.35111
Constantin, Peter; La, Joonhyun
2019
Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057
2018
Global weak solutions for SQG in bounded domains. Zbl 1402.35282
Constantin, Peter; Nguyen, Huy Quang
2018
Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006
Constantin, Peter; Nguyen, Huy Quang
2018
Inviscid limit for SQG in bounded domains. Zbl 1405.35158
Constantin, Peter; Ignatova, Mihaela; Nguyen, Huy Q.
2018
On singularity formation in a Hele-Shaw model. Zbl 1421.76073
Constantin, Peter; Elgindi, Tarek; Nguyen, Huy; Vicol, Vlad
2018
Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304
Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad
2017
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247
Constantin, Peter; Ignatova, Mihaela
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
2017
Analysis of hydrodynamic models. Zbl 1402.76003
Constantin, Peter
2017
Nonlocal nonlinear advection-diffusion equations. Zbl 1364.35261
Constantin, Peter
2017
On some electroconvection models. Zbl 1442.35440
Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad
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.
2016
Critical SQG in bounded domains. Zbl 1397.35202
Constantin, Peter; Ignatova, Mihaela
2016
Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283
Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad
2016
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2016
Navier Stokes equations: a quick reminder and a few remarks. Zbl 1351.35102
Constantin, Peter
2016
Long time dynamics of forced critical SQG. Zbl 1316.35238
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
2015
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2015
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135
Constantin, Peter; Vicol, Vlad; Wu, Jiahong
2015
Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008
Constantin, Peter
2015
Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158
Chae, Dongho; Constantin, Peter
2015
Far-field perturbations of vortex patches. Zbl 1353.76011
Constantin, Peter
2015
Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078
Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad
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
2014
Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
2014
Local formulae for the hydrodynamic pressure and applications. Zbl 1301.35085
Constantin, P.
2014
On the global existence for the Muskat problem. Zbl 1258.35002
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M.
2013
Complex fluids and Lagrangian particles. Zbl 1301.35101
Constantin, Peter
2013
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
2012
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
2012
Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006
Constantin, Peter; Kliegl, Markus
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
2012
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2012
Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201
Constantin, Peter; Sun, Weiran
2012
Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2012
Remarks on complex fluid models. Zbl 1296.76009
Constantin, Peter
2012
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2011
A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018
Constantin, Peter; Iyer, Gautam
2011
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
2010
On the high intensity limit of interacting corpora. Zbl 1191.82109
Constantin, Peter; Zlatoš, Andrej
2010
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
2010
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010
Constantin, Peter; Wu, Jiahong
2009
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
2008
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
2008
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052
Constantin, Peter; Wu, Jiahong
2008
Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059
Constantin, Peter; Iyer, Gautam; Wu, Jiahong
2008
A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048
Constantin, Peter; Iyer, Gautam
2008
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069
2008
Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388
Constantin, Peter
2008
Euler and Navier-Stokes equations. Zbl 1152.76016
Constantin, Peter
2008
Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence. Zbl 1182.76565
Ohkitani, K.; Constantin, P.
2008
Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085
Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia
2008
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
2008
Partial differential equation problems from simple to complex fluids. Zbl 1158.35071
Constantin, Peter
2008
On the Euler equations of incompressible fluids. Zbl 1132.76009
Constantin, Peter
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.
2007
Inviscid limit for damped and driven incompressible Navier-Stokes equations in $$\mathbb R^2$$. Zbl 1151.35068
Constantin, P.; Ramos, F.
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.
2007
Smoluchowski Navier-Stokes systems. Zbl 1188.35142
Constantin, Peter
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.
2007
Eulerian-Lagrangian formalism and vortex reconnection. Zbl 1175.35109
Constantin, P.
2007
Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146
Constantin, Peter
2006
Analytic study of shell models of turbulence. Zbl 1113.34044
Constantin, Peter; Levant, Boris; Titi, Edriss S.
2006
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
2006
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
2006
Existence of pulsating waves in a model of flames in sprays. Zbl 1110.35007
Constantin, Peter; Domelevo, Komla; Roquejoffre, Jean-Michel; Ryzhik, Lenya
2006
Stochastic Lagrangian transport and generalized relative entropies. Zbl 1120.35046
Constantin, Peter; Iyer, Gautam
2006
Generalized relative entropies and stochastic representation. Zbl 1237.76151
Constantin, Peter
2006
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
2005
Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028
2005
Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068
Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko
2005
Asymptotic states of a Smoluchowski equation. Zbl 1086.76003
Constantin, P.; Kevrekidis, I. G.; Titi, E. S.
2004
Remarks on a Smoluchowski equation. Zbl 1138.35336
Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S.
2004
Transport in rotating fluids. Zbl 1057.76064
Constantin, Peter
2004
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
2003
Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007
Constantin, Peter
2003
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
2003
Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations. Zbl 1186.76401
Ohkitani, K.; Constantin, P.
2003
Filtered viscous fluid equations. Zbl 1048.76017
Constantin, P.
2003
On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004
Constantin, Peter; Cordoba, Diego; Wu, Jiahong
2001
An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009
Constantin, Peter
2001
An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020
Constantin, Peter
2001
On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520
Doering, Charles R.; Constantin, Peter
2001
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
2001
Some open problems and research directions in the mathematical study of fluid dynamics. Zbl 1047.35110
Constantin, Peter
2001
Logarithmic bounds for infinite Prandtl number rotating convection. Zbl 1061.76519
Constantin, Peter; Hallstrom, Chris; Poutkaradze, Vachtang
2001
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
2000
The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017
Constantin, Peter
2000
Navier-Stokes equations and fluid turbulence. Zbl 1002.76038
Constantin, P.
2000
...and 60 more Documents
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### Cited by 2,828 Authors

 88 Titi, Edriss Saleh 77 Constantin, Peter 57 Wu, Jiahong 44 Chae, Dongho 42 Foiaş, Ciprian Ilie 41 Cordoba, Diego 41 Vicol, Vlad C. 39 Kukavica, Igor 39 Temam, Roger Meyer 30 Jolly, Michael S. 30 Robinson, James Cooper 28 Guo, Boling 25 Gancedo, Francisco 25 Gibbon, John D. 24 Doering, Charles Rogers 22 Kiselev, Alexander A. 22 Shvydkoy, Roman V. 21 Hou, Thomas Yizhao 21 Li, Dong 21 Zhang, Zhifei 20 Cheskidov, Alexey 20 Elgindi, Tarek Mohamed 20 Masmoudi, Nader 18 Bedrossian, Jacob 18 Berselli, Luigi Carlo 18 Eyink, Gregory L. 18 Grujić, Zoran 18 Wang, Xiaoming 18 Yamazaki, Kazuo 17 Castro, Ángel 17 Duan, Jinqiao 17 Ignatova, Mihaela 16 Dong, Boqing 16 Drivas, Theodore Dimitrios 16 Granero Belinchón, Rafael 16 Rodrigo, José Luis 16 Vasseur, Alexis F. 16 Vega, Luis 16 Xu, Xiaojing 15 Biswas, Animikh 15 Gao, Hongjun 15 Ohkitani, Koji 14 Coti Zelati, Michele 14 Dascaliuc, Radu 14 Fefferman, Charles Louis 14 Ilyin, Alexei A. 14 Jeong, In-Jee 14 Nicolaenko, Basil 14 Zlatoš, Andrej 13 Flandoli, Franco 13 Friedlander, Susan Jean 13 Glatt-Holtz, Nathan E. 13 Hmidi, Taoufik 13 Ponce, Gustavo 13 Ryzhik, Lenya 13 Székelyhidi, László jun. 13 Xue, Liutang 12 Feireisl, Eduard 12 Gómez-Serrano, Javier 12 Hoang, Luan Thach 12 Tadmor, Eitan 12 Tran, Chuong V. 12 Xin, Zhouping 12 Ye, Zhuan 11 Bae, Hantaek 11 Bardos, Claude Williams 11 Caraballo Garrido, Tomás 11 Chepyzhov, Vladimir V. 11 Chueshov, Igor’ Dmitrievich 11 Dai, Mimi 11 Hamel, François 11 Hayashi, Nakao 11 Kenig, Carlos Eduardo 11 Majda, Andrew J. 11 Nguyen, Huy Quang 11 Nussenzveig Lopes, Helena Judith 11 Sun, Chunyou 11 Zelik, Sergey V. 10 Alazard, Thomas 10 Bauer, Martin 10 Berestycki, Henri 10 De Lellis, Camillo 10 Ferreira, Lucas Catão de Freitas 10 Lin, Fang Hua 10 Lopes Filho, Milton da Costa 10 Martinez, Vincent R. 10 Sell, George Roger 10 Wang, Baoxiang 10 Wiedemann, Emil 10 Zhang, Bingyu 10 Ziane, Mohammed 9 Bertozzi, Andrea Louise 9 Bessaih, Hakima 9 Cao, Chongsheng 9 Córdoba Barba, Antonio Juan 9 Dong, Hongjie 9 Holm, Darryl D. 9 Kevrekidis, Ioannis George 9 Luo, Dejun 9 Miao, Changxing ...and 2,728 more Authors
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### Cited in 335 Serials

 206 Journal of Differential Equations 159 Communications in Mathematical Physics 151 Physica D 137 Journal of Mathematical Analysis and Applications 135 Archive for Rational Mechanics and Analysis 89 Journal of Mathematical Physics 89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 79 Journal of Mathematical Fluid Mechanics 76 Journal of Fluid Mechanics 62 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 59 Physics of Fluids 58 Journal of Nonlinear Science 57 SIAM Journal on Mathematical Analysis 54 Advances in Mathematics 54 Journal of Dynamics and Differential Equations 53 Journal of Functional Analysis 50 Nonlinearity 47 Applied Mathematics Letters 47 Communications in Partial Differential Equations 43 Nonlinear Analysis. Real World Applications 37 Discrete and Continuous Dynamical Systems 36 Transactions of the American Mathematical Society 35 Proceedings of the American Mathematical Society 34 Journal of Statistical Physics 32 Communications on Pure and Applied Mathematics 31 ZAMP. Zeitschrift für angewandte Mathematik und Physik 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Discrete and Continuous Dynamical Systems. Series B 30 Nonlinear Analysis. Theory, Methods & Applications 27 Computers & Mathematics with Applications 27 Journal of Computational Physics 24 Annals of PDE 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Mathematical Methods in the Applied Sciences 20 Calculus of Variations and Partial Differential Equations 20 Journal of Evolution Equations 18 Applied Mathematics and Computation 17 Acta Applicandae Mathematicae 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Communications on Pure and Applied Analysis 16 Journal d’Analyse Mathématique 15 Mathematische Annalen 15 NoDEA. Nonlinear Differential Equations and Applications 14 Mathematics of Computation 14 Applied Mathematics and Optimization 14 Applied Numerical Mathematics 14 Abstract and Applied Analysis 13 Applicable Analysis 13 Physics Letters. A 13 Chinese Annals of Mathematics. Series B 13 Stochastic Processes and their Applications 13 Chaos 12 Journal of the American Mathematical Society 12 Acta Mathematica Sinica. English Series 11 Numerical Functional Analysis and Optimization 10 Inventiones Mathematicae 10 Numerische Mathematik 10 Applied Mathematics and Mechanics. (English Edition) 10 Acta Mathematicae Applicatae Sinica. English Series 10 Bulletin of the American Mathematical Society. New Series 10 Science China. Mathematics 9 Chaos, Solitons and Fractals 9 Journal of Computational and Applied Mathematics 9 Journal of Scientific Computing 9 Proceedings of the National Academy of Sciences of the United States of America 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Annals of Mathematics. Second Series 9 Journal of the European Mathematical Society (JEMS) 9 Discrete and Continuous Dynamical Systems. Series S 9 Analysis & PDE 8 Computer Methods in Applied Mechanics and Engineering 8 Duke Mathematical Journal 8 RAIRO. Modélisation Mathématique et Analyse Numérique 8 Revista Matemática Iberoamericana 8 Applications of Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Boundary Value Problems 7 Theoretical and Computational Fluid Dynamics 7 Quarterly of Applied Mathematics 7 Probability Theory and Related Fields 7 Communications in Contemporary Mathematics 7 Stochastics and Dynamics 7 Complex Variables and Elliptic Equations 7 Evolution Equations and Control Theory 6 Stochastic Analysis and Applications 6 Journal of Mathematical Sciences (New York) 6 European Journal of Mechanics. B. Fluids 6 Communications in Nonlinear Science and Numerical Simulation 6 SIAM Journal on Applied Dynamical Systems 6 Multiscale Modeling & Simulation 5 Bulletin of the Australian Mathematical Society 5 Physics of Fluids, A 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Optimization Theory and Applications 5 Japan Journal of Industrial and Applied Mathematics 5 Geometric and Functional Analysis. GAFA 5 Nonlinear Dynamics 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 AIMS Mathematics 4 Geophysical and Astrophysical Fluid Dynamics ...and 235 more Serials
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### Cited in 51 Fields

 2,661 Partial differential equations (35-XX) 1,893 Fluid mechanics (76-XX) 351 Dynamical systems and ergodic theory (37-XX) 205 Numerical analysis (65-XX) 203 Geophysics (86-XX) 199 Probability theory and stochastic processes (60-XX) 121 Ordinary differential equations (34-XX) 117 Statistical mechanics, structure of matter (82-XX) 87 Biology and other natural sciences (92-XX) 74 Real functions (26-XX) 73 Operator theory (47-XX) 73 Classical thermodynamics, heat transfer (80-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 72 Systems theory; control (93-XX) 71 Global analysis, analysis on manifolds (58-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 35 Functional analysis (46-XX) 34 Mechanics of deformable solids (74-XX) 31 Quantum theory (81-XX) 24 Optics, electromagnetic theory (78-XX) 23 Differential geometry (53-XX) 22 Measure and integration (28-XX) 22 Integral equations (45-XX) 15 Mechanics of particles and systems (70-XX) 12 Astronomy and astrophysics (85-XX) 10 Statistics (62-XX) 9 Potential theory (31-XX) 8 Functions of a complex variable (30-XX) 8 Approximations and expansions (41-XX) 7 Integral transforms, operational calculus (44-XX) 6 History and biography (01-XX) 6 General topology (54-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Manifolds and cell complexes (57-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-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 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 Mathematics education (97-XX)

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