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## Constantin, Peter

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 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: 175 Publications since 1983, including 5 Books
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#### Co-Authors

 50 single-authored 16 Wu, Jiahong 15 Foiaş, Ciprian Ilie 15 Vicol, Vlad C. 14 Titi, Edriss Saleh 10 Ryzhik, Lenya 8 Ignatova, Mihaela 8 Temam, Roger Meyer 7 Chae, Dongho 7 Doering, Charles R. 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 Lee, Fizay-Noah 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 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
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#### Serials

 14 Communications in Mathematical Physics 14 Nonlinearity 10 Physica D 8 Archive for Rational Mechanics and Analysis 8 Indiana University Mathematics Journal 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
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#### Fields

 145 Partial differential equations (35-XX) 136 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Geophysics (86-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Dynamical systems and ergodic theory (37-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)

#### Citations contained in zbMATH Open

154 Publications have been cited 5,042 times in 2,927 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
Local smoothing properties of dispersive equations. Zbl 0667.35061
Constantin, P.; Saut, J. C.
1988
Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Zbl 0818.35085
Constantin, Peter; E, Weinan; Titi, Edriss S.
1994
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
2012
On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004
Constantin, Peter; Cordoba, Diego; Wu, Jiahong
2001
Attractors representing turbulent flows. Zbl 0567.35070
Constantin, P.; Foiaş, Ciprian; Temam, R.
1985
Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Zbl 0837.35113
Constantin, Peter; Fefferman, Charles
1993
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
1985
Geometric constraints on potentially singular solutions for the $$3-D$$ Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
1996
Geometric statistics in turbulence. Zbl 0803.35106
Constantin, Peter
1994
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
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
On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030
Constantin, P.; Foias, C.; Temam, R.
1988
Global regularity for vortex patches. Zbl 0771.76014
Bertozzi, A. L.; Constantin, P.
1993
Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054
Constantin, P.; Foias, C.; Manley, O. P.; Temam, R.
1985
Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146
Constantin, Peter
2006
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
2008
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
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
2012
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
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010
Chae, Dongho; Constantin, Peter; Wu, Jiahong
2011
Infinite Prandtl number convection. Zbl 0935.76083
Constantin, Peter; Doering, Charles R.
1999
Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024
Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R.
1989
Global solutions for small data to the Hele-Shaw problem. Zbl 0808.35104
Constantin, P.; Pugh, M.
1993
On the global existence for the Muskat problem. Zbl 1258.35002
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M.
2013
Diffusion, attraction and collapse. Zbl 0942.35018
Brenner, Michael P.; Constantin, Peter; Kadanoff, Leo P.; Schenkel, Alain; Venkataramani, Shankar C.
1999
A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048
Constantin, Peter; Iyer, Gautam
2008
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
2000
Long time dynamics of forced critical SQG. Zbl 1316.35238
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
2015
Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059
Constantin, Peter; Iyer, Gautam; Wu, Jiahong
2008
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010
Constantin, Peter; Wu, Jiahong
2009
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069
2008
Inviscid limit for vortex patches. Zbl 0832.76011
Constantin, Peter; Wu, Jiahong
1995
Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G.
1994
Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006
Constantin, Peter; Kliegl, Markus
2012
An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009
Constantin, Peter
2001
Nonsingular surface quasi-geostrophic flow. Zbl 0974.76512
Constantin, Peter; Nie, Qing; Schörghofer, Norbert
1998
An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020
Constantin, Peter
2001
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
On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520
Doering, Charles R.; Constantin, Peter
2001
The inviscid limit for non-smooth vorticity. Zbl 0859.76015
Constantin, Peter; Wu, Jiahong
1996
Navier-Stokes equations and area of interfaces. Zbl 0725.35080
Constantin, Peter
1990
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
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
Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078
Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad
2014
Existence of solutions to the Stommel-Charney model of the gulf stream. Zbl 0679.76108
Barcilon, V.; Constantin, P.; Titi, E. S.
1988
Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304
Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad
2017
Inviscid limit for damped and driven incompressible Navier-Stokes equations in $$\mathbb R^2$$. Zbl 1151.35068
Constantin, P.; Ramos, F.
2007
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
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2015
Heat transfer in convective turbulence. Zbl 0899.35078
Constantin, Peter; Doering, Charles R.
1996
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
Asymptotic states of a Smoluchowski equation. Zbl 1086.76003
Constantin, P.; Kevrekidis, I. G.; Titi, E. S.
2004
Analytic study of shell models of turbulence. Zbl 1113.34044
Constantin, Peter; Levant, Boris; Titi, Edriss S.
2006
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
2001
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
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
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
Remarks on a Smoluchowski equation. Zbl 1138.35336
Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S.
2004
Bounds for heat transport in a porous layer. Zbl 0933.76090
Doering, Charles R.; Constantin, Peter
1998
On the evolution of nearly circular vortex patches. Zbl 0673.76025
Constantin, P.; Titi, E. S.
1988
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
2010
Exponential decay of the power spectrum of turbulence. Zbl 1081.35505
Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P.
1995
Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
2014
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
2003
The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017
Constantin, Peter
2000
Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J.
1997
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247
Constantin, Peter; Ignatova, Mihaela
2017
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
Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201
Constantin, Peter; Sun, Weiran
2012
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135
Constantin, Peter; Vicol, Vlad; Wu, Jiahong
2015
Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028
2005
Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388
Constantin, Peter
2008
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
Global weak solutions for SQG in bounded domains. Zbl 1402.35282
Constantin, Peter; Nguyen, Huy Quang
2018
Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057
2018
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
A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018
Constantin, Peter; Iyer, Gautam
2011
Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068
Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko
2005
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
Euler and Navier-Stokes equations. Zbl 1152.76016
Constantin, Peter
2008
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
2006
A few results and open problems regarding incompressible fluids. Zbl 1047.76509
Constantin, Peter
1995
Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006
Constantin, Peter; Nguyen, Huy Quang
2018
The Littlewood-Paley spectrum in two-dimensional turbulence. Zbl 0907.76042
Constantin, Peter
1997
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
2020
Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence. Zbl 1182.76565
Ohkitani, K.; Constantin, P.
2008
Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007
Constantin, Peter
2003
Scaling exponents for active scalars. Zbl 0929.76060
Constantin, Peter
1998
Inelastic collisions of three particles on a line as a two-dimensional billiard. Zbl 0900.70198
Constantin, Peter; Grossman, Elizabeth; Mungan, Muhittin
1995
Scaling exponents in fluid turbulence: Some analytic results. Zbl 0839.76038
Constantin, Peter; Fefferman, Charles
1994
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
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 1427.35189
Constantin, Peter; La, Joonhyun; Vicol, Vlad
2019
On the Nernst-Planck-Navier-Stokes system. Zbl 07045536
Constantin, Peter; Ignatova, Mihaela
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
Global weak solutions for SQG in bounded domains. Zbl 1402.35282
Constantin, Peter; Nguyen, Huy Quang
2018
Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057
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
On some electroconvection models. Zbl 1442.35440
Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad
2017
Nonlocal nonlinear advection-diffusion equations. Zbl 1364.35261
Constantin, Peter
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
Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158
Chae, Dongho; Constantin, Peter
2015
Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008
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
Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117
Constantin, Peter; Tarfulea, Andrei; 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
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
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
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
Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201
Constantin, Peter; Sun, Weiran
2012
Remarks on complex fluid models. Zbl 1296.76009
Constantin, Peter
2012
Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109
Chae, Dongho; Constantin, Peter; Wu, Jiahong
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
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
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 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
A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048
Constantin, Peter; Iyer, Gautam
2008
Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059
Constantin, Peter; Iyer, Gautam; Wu, Jiahong
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
Stochastic Lagrangian transport and generalized relative entropies. Zbl 1120.35046
Constantin, Peter; Iyer, Gautam
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
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
Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations. Zbl 1186.76401
Ohkitani, K.; Constantin, P.
2003
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
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
Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093
Constantin, Peter; Wu, Jiahong
1999
Infinite Prandtl number convection. Zbl 0935.76083
Constantin, Peter; Doering, Charles R.
1999
Diffusion, attraction and collapse. Zbl 0942.35018
Brenner, Michael P.; Constantin, Peter; Kadanoff, Leo P.; Schenkel, Alain; Venkataramani, Shankar C.
1999
Heat transport in rotating convection. Zbl 0941.76037
Constantin, Peter; Hallstrom, Chris; Putkaradze, Vachtang
1999
Bounds for second order structure functions and energy spectrum in turbulence. Zbl 1147.76367
Constantin, P.; Nie, Q.; Tanveer, S.
1999
Nonsingular surface quasi-geostrophic flow. Zbl 0974.76512
Constantin, Peter; Nie, Qing; Schörghofer, Norbert
1998
...and 54 more Documents
all top 5

#### Cited by 2,719 Authors

 90 Titi, Edriss Saleh 74 Constantin, Peter 47 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 27 Robinson, James Cooper 24 Doering, Charles R. 24 Gancedo, Francisco 24 Gibbon, John D. 23 Ye, Zhuan 23 Zhang, Zhifei 20 Hou, Thomas Yizhao 20 Kiselev, Alexander A. 20 Shvydkoy, Roman V. 19 Cheskidov, Alexey 19 Grujić, Zoran 19 Masmoudi, Nader 18 Li, Dong 18 Wang, Xiaoming 17 Bedrossian, Jacob 17 Berselli, Luigi Carlo 17 Duan, Jinqiao 17 Eyink, Gregory L. 16 Elgindi, Tarek Mohamed 16 Rodrigo, José Luis 16 Vega, Luis 15 Gao, Hongjun 15 Granero Belinchón, Rafael 15 Ohkitani, Koji 15 Yamazaki, Kazuo 14 Castro, Ángel 14 Dascaliuc, Radu 14 Dong, Boqing 14 Fefferman, Charles Louis 14 Nicolaenko, Basil 13 Biswas, Animikh 13 Glatt-Holtz, Nathan E. 13 Ponce, Gustavo 13 Ryzhik, Lenya 13 Vasseur, Alexis F. 13 Xu, Xiaojing 13 Zlatoš, Andrej 12 Drivas, Theodore Dimitrios 12 Flandoli, Franco 12 Hmidi, Taoufik 12 Hoang, Luan Thach 12 Ilyin, Alexei A. 12 Tran, Chuong V. 12 Xue, Liutang 11 Chepyzhov, Vladimir V. 11 Chueshov, Igor’ Dmitrievich 11 Coti Zelati, Michele 11 Friedlander, Susan Jean 11 Hamel, François 11 Ignatova, Mihaela 11 Kenig, Carlos Eduardo 11 Majda, Andrew J. 11 Nussenzveig Lopes, Helena Judith 11 Székelyhidi, László jun. 11 Tadmor, Eitan 11 Xin, Zhouping 10 Bae, Hantaek 10 Bardos, Claude Williams 10 Bauer, Martin 10 De Lellis, Camillo 10 Eden, Alp 10 Feireisl, Eduard 10 Ferreira, Lucas Catão de Freitas 10 Holm, Darryl D. 10 Lin, Fang Hua 10 Lopes Filho, Milton da Costa 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 Dong, Hongjie 9 Gómez-Serrano, Javier 9 Kevrekidis, Ioannis George 9 Nguyen, Huy Quang 9 Pizzocchero, Livio 9 Razafimandimby, Paul André 9 Saut, Jean-Claude 9 Wang, Shu 9 Wiedemann, Emil 9 Zhang, Bingyu 9 Zhang, Ting 9 Zhang, Zujin 8 Beirão da Veiga, Hugo 8 Cao, Chongsheng ...and 2,619 more Authors
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#### Cited in 309 Serials

 193 Journal of Differential Equations 151 Communications in Mathematical Physics 147 Physica D 131 Journal of Mathematical Analysis and Applications 122 Archive for Rational Mechanics and Analysis 93 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 84 Journal of Mathematical Physics 69 Journal of Fluid Mechanics 65 Journal of Mathematical Fluid Mechanics 60 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 59 Physics of Fluids 53 Journal of Dynamics and Differential Equations 52 Journal of Nonlinear Science 50 Advances in Mathematics 47 Journal of Functional Analysis 45 SIAM Journal on Mathematical Analysis 44 Applied Mathematics Letters 42 Communications in Partial Differential Equations 36 Nonlinearity 35 Discrete and Continuous Dynamical Systems 33 Journal of Statistical Physics 33 Proceedings of the American Mathematical Society 32 Communications on Pure and Applied Mathematics 32 Nonlinear Analysis. Theory, Methods & Applications 31 Nonlinear Analysis. Real World Applications 29 Transactions of the American Mathematical Society 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 Journal of Computational Physics 27 Computers & Mathematics with Applications 26 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Discrete and Continuous Dynamical Systems. Series B 20 Mathematical Methods in the Applied Sciences 19 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 18 Applied Mathematics and Computation 17 Calculus of Variations and Partial Differential Equations 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Journal d’Analyse Mathématique 16 Annals of PDE 15 Acta Applicandae Mathematicae 15 Applied Numerical Mathematics 14 NoDEA. Nonlinear Differential Equations and Applications 14 Abstract and Applied Analysis 13 Physics Letters. A 13 Mathematics of Computation 13 Mathematische Annalen 13 Chaos 12 Chinese Annals of Mathematics. Series B 12 Journal of the American Mathematical Society 12 Stochastic Processes and their Applications 12 Acta Mathematica Sinica. English Series 11 Applicable Analysis 11 Numerical Functional Analysis and Optimization 11 Journal of Evolution Equations 11 Communications on Pure and Applied Analysis 10 Applied Mathematics and Mechanics. (English Edition) 10 Acta Mathematicae Applicatae Sinica. English Series 10 Bulletin of the American Mathematical Society. New Series 9 Applied Mathematics and Optimization 9 Inventiones Mathematicae 9 Journal of Computational and Applied Mathematics 9 Numerische Mathematik 9 Journal of Scientific Computing 9 Proceedings of the National Academy of Sciences of the United States of America 9 Analysis & PDE 9 Science China. Mathematics 8 Computer Methods in Applied Mechanics and Engineering 8 RAIRO. Modélisation Mathématique et Analyse Numérique 8 Revista Matemática Iberoamericana 8 Applications of Mathematics 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Annals of Mathematics. Second Series 8 Discrete and Continuous Dynamical Systems. Series S 7 Theoretical and Computational Fluid Dynamics 7 Chaos, Solitons and Fractals 7 Quarterly of Applied 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 Probability Theory and Related Fields 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 Annali di Matematica Pura ed Applicata. Serie Quarta 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. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Stochastics and Dynamics 4 Mathematical Notes 4 Physica A 4 The Annals of Probability ...and 209 more Serials
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#### Cited in 51 Fields

 2,390 Partial differential equations (35-XX) 1,701 Fluid mechanics (76-XX) 327 Dynamical systems and ergodic theory (37-XX) 199 Numerical analysis (65-XX) 182 Geophysics (86-XX) 177 Probability theory and stochastic processes (60-XX) 118 Ordinary differential equations (34-XX) 109 Statistical mechanics, structure of matter (82-XX) 71 Biology and other natural sciences (92-XX) 70 Classical thermodynamics, heat transfer (80-XX) 66 Operator theory (47-XX) 66 Global analysis, analysis on manifolds (58-XX) 63 Harmonic analysis on Euclidean spaces (42-XX) 63 Systems theory; control (93-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 50 Real functions (26-XX) 32 Functional analysis (46-XX) 30 Mechanics of deformable solids (74-XX) 22 Differential geometry (53-XX) 21 Quantum theory (81-XX) 20 Measure and integration (28-XX) 20 Integral equations (45-XX) 20 Optics, electromagnetic theory (78-XX) 16 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 History and biography (01-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 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)

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