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Author ID: constantin.peter Recent zbMATH articles by "Constantin, Peter"
Published as: Constantin, Peter; Constantin, P.; Constantin, Petre
Homepage: https://web.math.princeton.edu/~const/
External Links: MGP · Wikidata · GND · IdRef
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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
all top 5

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

Publications by Year

Citations contained in zbMATH Open

160 Publications have been cited 5,560 times in 3,256 Documents Cited by Year
Navier-Stokes equations. Zbl 0687.35071
Constantin, Peter; Foias, Ciprian
580
1988
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban
301
1994
Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002
Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R.
198
1989
Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093
Constantin, Peter; Wu, Jiahong
187
1999
Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Zbl 0818.35085
Constantin, Peter; E, Weinan; Titi, Edriss S.
176
1994
Local smoothing properties of dispersive equations. Zbl 0667.35061
Constantin, P.; Saut, J. C.
164
1988
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
Constantin, Peter; Vicol, Vlad
153
2012
Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Zbl 0837.35113
Constantin, Peter; Fefferman, Charles
122
1993
On the critical dissipative quasi-geostrophic equation. Zbl 0989.86004
Constantin, Peter; Cordoba, Diego; Wu, Jiahong
112
2001
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
111
1985
Attractors representing turbulent flows. Zbl 0567.35070
Constantin, P.; Foiaş, Ciprian; Temam, R.
110
1985
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
108
2008
Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
102
1996
Geometric statistics in turbulence. Zbl 0803.35106
Constantin, Peter
101
1994
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
91
2008
On the Euler equations of incompressible fluids. Zbl 1132.76009
Constantin, Peter
90
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
87
1985
Global regularity for vortex patches. Zbl 0771.76014
Bertozzi, A. L.; Constantin, P.
84
1993
Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146
Constantin, Peter
83
2006
Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054
Constantin, P.; Foias, C.; Manley, O. P.; Temam, R.
75
1985
On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030
Constantin, P.; Foias, C.; Temam, R.
74
1988
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
74
2012
Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations. Zbl 0655.76041
Constantin, Petre
73
1986
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052
Constantin, Peter; Wu, Jiahong
66
2008
Infinite Prandtl number convection. Zbl 0935.76083
Constantin, Peter; Doering, Charles R.
62
1999
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
62
1990
On the global existence for the Muskat problem. Zbl 1258.35002
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M.
60
2013
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010
Chae, Dongho; Constantin, Peter; Wu, Jiahong
59
2011
Global solutions for small data to the Hele-Shaw problem. Zbl 0808.35104
Constantin, P.; Pugh, M.
54
1993
Long time dynamics of forced critical SQG. Zbl 1316.35238
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
54
2015
Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006
Constantin, Peter; Kliegl, Markus
53
2012
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
51
2000
Diffusion, attraction and collapse. Zbl 0942.35018
Brenner, Michael P.; Constantin, Peter; Kadanoff, Leo P.; Schenkel, Alain; Venkataramani, Shankar C.
50
1999
A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048
Constantin, Peter; Iyer, Gautam
50
2008
Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059
Constantin, Peter; Iyer, Gautam; Wu, Jiahong
49
2008
Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024
Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R.
46
1989
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010
Constantin, Peter; Wu, Jiahong
45
2009
Inviscid limit for vortex patches. Zbl 0832.76011
Constantin, Peter; Wu, Jiahong
39
1995
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069
Constantin, P.; Masmoudi, Nader
38
2008
Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304
Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad
38
2017
Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G.
37
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.
35
2016
Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078
Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad
33
2014
Nonsingular surface quasi-geostrophic flow. Zbl 0974.76512
Constantin, Peter; Nie, Qing; Schörghofer, Norbert
32
1998
An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009
Constantin, Peter
32
2001
Navier-Stokes equations and area of interfaces. Zbl 0725.35080
Constantin, Peter
32
1990
The inviscid limit for non-smooth vorticity. Zbl 0859.76015
Constantin, Peter; Wu, Jiahong
30
1996
On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520
Doering, Charles R.; Constantin, Peter
30
2001
An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020
Constantin, Peter
30
2001
Local smoothing properties of Schrödinger equations. Zbl 0712.35022
Constantin, Peter; Saut, Jean-Claude
30
1989
The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049
Constantin, Peter; Majda, Andrew
29
1988
Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043
Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A.
28
2007
Heat transfer in convective turbulence. Zbl 0899.35078
Constantin, Peter; Doering, Charles R.
28
1996
Existence of solutions to the Stommel-Charney model of the gulf stream. Zbl 0679.76108
Barcilon, V.; Constantin, P.; Titi, E. S.
28
1988
Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\). Zbl 1151.35068
Constantin, P.; Ramos, F.
28
2007
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
26
2015
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
25
2005
On the large time Galerkin approximation of the Navier-Stokes equations. Zbl 0551.76021
Constantin, P.; Foiaş, Ciprian; Temam, R.
24
1984
Analytic study of shell models of turbulence. Zbl 1113.34044
Constantin, Peter; Levant, Boris; Titi, Edriss S.
23
2006
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
New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001
Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong
22
2012
Critical SQG in bounded domains. Zbl 1397.35202
Constantin, Peter; Ignatova, Mihaela
21
2016
Asymptotic states of a Smoluchowski equation. Zbl 1086.76003
Constantin, P.; Kevrekidis, I. G.; Titi, E. S.
20
2004
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
20
2012
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
19
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.
19
1994
On the evolution of nearly circular vortex patches. Zbl 0673.76025
Constantin, P.; Titi, E. S.
19
1988
Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201
Constantin, Peter; Sun, Weiran
19
2012
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247
Constantin, Peter; Ignatova, Mihaela
19
2017
Bounds for heat transport in a porous layer. Zbl 0933.76090
Doering, Charles R.; Constantin, Peter
18
1998
The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017
Constantin, Peter
17
2000
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135
Constantin, Peter; Vicol, Vlad; Wu, Jiahong
17
2015
Remarks on a Smoluchowski equation. Zbl 1138.35336
Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S.
17
2004
A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018
Constantin, Peter; Iyer, Gautam
16
2011
Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283
Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad
16
2016
Exponential decay of the power spectrum of turbulence. Zbl 1081.35505
Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P.
16
1995
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
16
2010
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
15
2003
Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J.
15
1997
Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057
Constantin, Peter; Vicol, Vlad
15
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
15
2014
Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
15
2014
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
15
2017
Global weak solutions for SQG in bounded domains. Zbl 1402.35282
Constantin, Peter; Nguyen, Huy Quang
14
2018
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
13
2006
Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388
Constantin, Peter
13
2008
Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028
Constantin, Peter; Vukadinovic, Jesenko
13
2005
On the Nernst-Planck-Navier-Stokes system. Zbl 1472.82037
Constantin, Peter; Ignatova, Mihaela
13
2019
Variational bounds in dissipative systems. Zbl 0900.35049
Constantin, Peter; Doering, Charles
12
1995
The Littlewood-Paley spectrum in two-dimensional turbulence. Zbl 0907.76042
Constantin, Peter
11
1997
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
11
2006
Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068
Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko
11
2005
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
11
2020
Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006
Constantin, Peter; Nguyen, Huy Quang
11
2018
A few results and open problems regarding incompressible fluids. Zbl 1047.76509
Constantin, Peter
10
1995
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
10
2019
Euler and Navier-Stokes equations. Zbl 1152.76016
Constantin, Peter
10
2008
Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007
Constantin, Peter
9
2003
Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158
Chae, Dongho; Constantin, Peter
9
2015
Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008
Constantin, Peter
9
2015
Nernst-Planck-Navier-Stokes systems near equilibrium. Zbl 1483.35149
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
1
2022
Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 1471.35230
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
5
2021
Flexibility and rigidity in steady fluid motion. Zbl 1467.76013
Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel
5
2021
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation. Zbl 1481.35321
Constantin, Peter; Wu, Jiahong; Zhao, Jiefeng; Zhu, Yi
4
2021
Interior electroneutrality in Nernst-Planck-Navier-Stokes systems. Zbl 1484.35318
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
2
2021
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
11
2020
Estimates near the boundary for critical SQG. Zbl 1439.35393
Constantin, Peter; Ignatova, Mihaela
1
2020
On the Nernst-Planck-Navier-Stokes system. Zbl 1472.82037
Constantin, Peter; Ignatova, Mihaela
13
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
10
2019
Vorticity measures and the inviscid limit. Zbl 1428.35352
Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad
5
2019
Note on Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1410.35111
Constantin, Peter; La, Joonhyun
1
2019
Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057
Constantin, Peter; Vicol, Vlad
15
2018
Global weak solutions for SQG in bounded domains. Zbl 1402.35282
Constantin, Peter; Nguyen, Huy Quang
14
2018
Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006
Constantin, Peter; Nguyen, Huy Quang
11
2018
Inviscid limit for SQG in bounded domains. Zbl 1405.35158
Constantin, Peter; Ignatova, Mihaela; Nguyen, Huy Q.
8
2018
On singularity formation in a Hele-Shaw model. Zbl 1421.76073
Constantin, Peter; Elgindi, Tarek; Nguyen, Huy; Vicol, Vlad
3
2018
Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304
Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad
38
2017
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. Zbl 1405.35247
Constantin, Peter; Ignatova, Mihaela
19
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
15
2017
Analysis of hydrodynamic models. Zbl 1402.76003
Constantin, Peter
8
2017
On some electroconvection models. Zbl 1442.35440
Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad
3
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.
35
2016
Critical SQG in bounded domains. Zbl 1397.35202
Constantin, Peter; Ignatova, Mihaela
21
2016
Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283
Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad
16
2016
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
8
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
54
2015
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
26
2015
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135
Constantin, Peter; Vicol, Vlad; Wu, Jiahong
17
2015
Remarks on a Liouville-type theorem for Beltrami flows. Zbl 1328.35158
Chae, Dongho; Constantin, Peter
9
2015
Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems. Zbl 1384.76008
Constantin, Peter
9
2015
Far-field perturbations of vortex patches. Zbl 1353.76011
Constantin, Peter
1
2015
Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078
Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad
33
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
15
2014
Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad
15
2014
Local formulae for the hydrodynamic pressure and applications. Zbl 1301.35085
Constantin, P.
3
2014
On the global existence for the Muskat problem. Zbl 1258.35002
Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Strain, Robert M.
60
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
153
2012
Generalized surface quasi-geostrophic equations with singular velocities. Zbl 1244.35108
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong
74
2012
Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress. Zbl 1366.76006
Constantin, Peter; Kliegl, Markus
53
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
22
2012
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. Zbl 1288.35416
Chae, Dongho; Constantin, Peter; Wu, Jiahong
20
2012
Remarks on Oldroyd-B and related complex fluid models. Zbl 1291.35201
Constantin, Peter; Sun, Weiran
19
2012
Deformation and symmetry in the inviscid SQG and the 3D Euler equations. Zbl 1253.35109
Chae, Dongho; Constantin, Peter; Wu, Jiahong
6
2012
Remarks on complex fluid models. Zbl 1296.76009
Constantin, Peter
5
2012
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. Zbl 1266.76010
Chae, Dongho; Constantin, Peter; Wu, Jiahong
59
2011
A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. Zbl 1246.76018
Constantin, Peter; Iyer, Gautam
16
2011
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
16
2010
On the high intensity limit of interacting corpora. Zbl 1191.82109
Constantin, Peter; Zlatoš, Andrej
5
2010
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
5
2010
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. Zbl 1163.76010
Constantin, Peter; Wu, Jiahong
45
2009
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
108
2008
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
91
2008
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052
Constantin, Peter; Wu, Jiahong
66
2008
A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations. Zbl 1156.60048
Constantin, Peter; Iyer, Gautam
50
2008
Global regularity for a modified critical dissipative quasi-geostrophic equation. Zbl 1159.35059
Constantin, Peter; Iyer, Gautam; Wu, Jiahong
49
2008
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Zbl 1147.35069
Constantin, P.; Masmoudi, Nader
38
2008
Singular, weak and absent: Solutions of the Euler equations. Zbl 1143.76388
Constantin, Peter
13
2008
Euler and Navier-Stokes equations. Zbl 1152.76016
Constantin, Peter
10
2008
Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence. Zbl 1182.76565
Ohkitani, K.; Constantin, P.
8
2008
Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085
Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia
5
2008
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
3
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
90
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.
28
2007
Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\). Zbl 1151.35068
Constantin, P.; Ramos, F.
28
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
Smoluchowski Navier-Stokes systems. Zbl 1188.35142
Constantin, Peter
5
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.
3
2007
Eulerian-Lagrangian formalism and vortex reconnection. Zbl 1175.35109
Constantin, P.
2
2007
Euler equations, Navier-Stokes equations and turbulence. Zbl 1190.76146
Constantin, Peter
83
2006
Analytic study of shell models of turbulence. Zbl 1113.34044
Constantin, Peter; Levant, Boris; Titi, Edriss S.
23
2006
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
13
2006
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
11
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
1
2006
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
25
2005
Note on the number of steady states for a two-dimensional Smoluchowski equation. Zbl 1065.82028
Constantin, Peter; Vukadinovic, Jesenko
13
2005
Dissipativity and Gevrey regularity of a Smoluchowski equation. Zbl 1085.35068
Constantin, Peter; Titi, Edriss S.; Vukadinovic, Jesenko
11
2005
Asymptotic states of a Smoluchowski equation. Zbl 1086.76003
Constantin, P.; Kevrekidis, I. G.; Titi, E. S.
20
2004
Remarks on a Smoluchowski equation. Zbl 1138.35336
Constantin, Peter; Kevrekidis, Ioannis; Titi, Edriss S.
17
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
15
2003
Near identity transformations for the Navier-Stokes equations. Zbl 1055.76007
Constantin, Peter
9
2003
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
7
2003
Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations. Zbl 1186.76401
Ohkitani, K.; Constantin, P.
7
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
112
2001
An Eulerian-Lagrangian approach for incompressible fluids: Local theory. Zbl 0997.76009
Constantin, Peter
32
2001
On upper bounds for infinite Prandtl number convection with or without rotation. Zbl 1061.76520
Doering, Charles R.; Constantin, Peter
30
2001
An Eulerian-Lagrangian approach to the Navier-Stokes equations. Zbl 0988.76020
Constantin, Peter
30
2001
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
19
2001
Some open problems and research directions in the mathematical study of fluid dynamics. Zbl 1047.35110
Constantin, Peter
8
2001
Logarithmic bounds for infinite Prandtl number rotating convection. Zbl 1061.76519
Constantin, Peter; Hallstrom, Chris; Poutkaradze, Vachtang
6
2001
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
51
2000
The Euler equations and nonlocal conservative Riccati equations. Zbl 0970.76017
Constantin, Peter
17
2000
Navier-Stokes equations and fluid turbulence. Zbl 1002.76038
Constantin, P.
2
2000
...and 60 more Documents
all top 5

Cited by 2,859 Authors

88 Titi, Edriss Saleh
77 Constantin, Peter
57 Wu, Jiahong
46 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
24 Zhang, Zhifei
22 Kiselev, Alexander A.
22 Shvydkoy, Roman V.
21 Cheskidov, Alexey
21 Hou, Thomas Yizhao
21 Li, Dong
21 Masmoudi, Nader
20 Elgindi, Tarek Mohamed
20 Yamazaki, Kazuo
18 Bedrossian, Jacob
18 Berselli, Luigi Carlo
18 Eyink, Gregory L.
18 Grujić, Zoran
18 Wang, Xiaoming
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 Xue, Liutang
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.
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 Wiedemann, Emil
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 Rosa, Ricardo M. S.
10 Sell, George Roger
10 Wang, Baoxiang
10 Wang, Shu
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
...and 2,759 more Authors
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Cited in 337 Serials

208 Journal of Differential Equations
159 Communications in Mathematical Physics
151 Physica D
138 Journal of Mathematical Analysis and Applications
137 Archive for Rational Mechanics and Analysis
89 Journal of Mathematical Physics
89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
82 Journal of Mathematical Fluid Mechanics
76 Journal of Fluid Mechanics
62 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
59 SIAM Journal on Mathematical Analysis
59 Physics of Fluids
58 Journal of Nonlinear Science
54 Advances in Mathematics
54 Journal of Functional Analysis
54 Journal of Dynamics and Differential Equations
50 Nonlinearity
47 Applied Mathematics Letters
47 Communications in Partial Differential Equations
43 Nonlinear Analysis. Real World Applications
38 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
31 Discrete and Continuous Dynamical Systems. Series B
30 Nonlinear Analysis. Theory, Methods & Applications
28 Journal of Computational Physics
27 Computers & Mathematics with Applications
24 Annals of PDE
21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
21 Calculus of Variations and Partial Differential Equations
20 Mathematical Methods in the Applied Sciences
20 Journal of Evolution Equations
18 Applied Mathematics and Computation
17 Journal d’Analyse Mathématique
17 Acta Applicandae Mathematicae
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Communications on Pure and Applied Analysis
16 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 Inventiones Mathematicae
11 Numerical Functional Analysis and Optimization
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 Acta Mathematica Scientia. Series B. (English Edition)
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 The Journal of Fourier Analysis and Applications
5 Nonlinear Dynamics
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
...and 237 more Serials
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Cited in 51 Fields

2,686 Partial differential equations (35-XX)
1,910 Fluid mechanics (76-XX)
353 Dynamical systems and ergodic theory (37-XX)
207 Numerical analysis (65-XX)
204 Geophysics (86-XX)
200 Probability theory and stochastic processes (60-XX)
121 Ordinary differential equations (34-XX)
118 Statistical mechanics, structure of matter (82-XX)
88 Biology and other natural sciences (92-XX)
74 Operator theory (47-XX)
73 Real functions (26-XX)
73 Harmonic analysis on Euclidean spaces (42-XX)
73 Classical thermodynamics, heat transfer (80-XX)
73 Systems theory; control (93-XX)
71 Global analysis, analysis on manifolds (58-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
35 Functional analysis (46-XX)
33 Mechanics of deformable solids (74-XX)
31 Quantum theory (81-XX)
24 Differential geometry (53-XX)
24 Optics, electromagnetic theory (78-XX)
23 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)
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6 History and biography (01-XX)
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6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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4 Difference and functional equations (39-XX)
4 Computer science (68-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-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)
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2 Operations research, mathematical programming (90-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
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