On some electroconvection models

Peter Constantin, Tarek Elgindi, Mihaela Ignatova +1

Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations

Peter Constantin, Igor Kukavica, Vlad Vicol

Note on Global Regularity for 2D Oldroyd-B Fluids with Diffusive Stress

Peter Constantin, Markus Kliegl

Bulk Burning Rate in Passive - Reactive Diffusion

Peter Constantin, Alexander Kiselev, Adam Oberman +1

A Note on the Regularity of Inviscid Shell Model of Turbulence

Peter Constantin, Boris Levant, Edriss S. Titi

Critical SQG in bounded domains

Peter Constantin, Mihaela Ignatova

An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations

Dongho Chae, Peter Constantin, Jiahong Wu

Remarks on a Liouville-type theorem for Beltrami flows

Dongho Chae, Peter Constantin

Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D

Peter Constantin, Nader Masmoudi

The Onsager equation for corpora

Peter Constantin

A stochastic-Lagrangian approach to the Navier--Stokes equations in domains with boundary

Peter Constantin, Gautam Iyer

On the zero temperature limit of interacting corpora

Peter Constantin, Andrej Zlatos

Local and global strong solutions for SQG in bounded domains

Peter Constantin, Huy Quang Nguyen

Local formulas for the hydrodynamic pressure and applications

Peter Constantin

On the Muskat problem: global in time results in 2D and 3D

Peter Constantin, Diego Cordoba, Francisco Gancedo +2

Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing

Peter Constantin, Gregory Seregin

Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields

Peter Constantin, Tarek Elgindi, Mihaela Ignatova +1

Long time dynamics of forced critical SQG

Peter Constantin, Andrei Tarfulea, Vlad Vicol

Flame Enhancement and Quenching in Fluid Flows

Natalia Vladimirova, Peter Constantin, Alexander Kiselev +2

Generalized surface quasi-geostrophic equations with singular velocities

Dongho Chae, Peter Constantin, Diego Córdoba +2

Global regularity for a modified critical dissipative quasi-geostrophic equation

Peter Constantin, Gautam Iyer, Jiahong Wu

Absence of anomalous dissipation of energy in forced two dimensional fluid equations

Peter Constantin, Andrei Tarfulea, Vlad Vicol

Bounds for Turbulent Transport

Peter Constantin

Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems

Peter Constantin

Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems

Peter Constantin, Charles Fefferman, Edriss Titi +1

Uniformly attracting limit sets for the critically dissipative SQG equation

Peter Constantin, Michele Coti Zelati, Vlad Vicol

Entropy Hierarchies for equations of compressible fluids and self-organized dynamics

Peter Constantin, Theodore D. Drivas, Roman Shvydkoy

The paper introduces a hierarchy of higher‑order entropy functionals for compressible fluid equations with possibly degenerate viscosity, providing an alternative to the classical…

Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications

Peter Constantin, Mihaela Ignatova

A stochastic Lagrangian representation of the 3-dimensional incompressible Navier-Stokes equations

Peter Constantin, Gautam Iyer

Analytic Study of Shell Models of Turbulence

Peter Constantin, Boris Levant, Edriss S. Titi

Near identity transformations for the Navier-Stokes equations

Peter Constantin

On the inviscid limit of the Navier-Stokes equations

Peter Constantin, Igor Kukavica, Vlad Vicol

Energy Spectrum of Quasi-Geostrophic Turbulence

Peter Constantin

Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations

Dongho Chae, Peter Constantin, Jiahong Wu

Remarks on high Reynolds numbers hydrodynamics and the inviscid limit

Peter Constantin, Vlad Vicol

Inviscid limit for SQG in bounded domains

Peter Constantin, Mihaela Ignatova, Huy Nguyen

On the global existence for the Muskat problem

Peter Constantin, Diego Cordoba, Francisco Gancedo +1

Stochastic Lagrangian Transport and Generalized Relative Entropies

Peter Constantin, Gautam Iyer

The Euler Equations and Non-Local Conservative Riccati Equations

Peter Constantin

Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker-Planck equations

Peter Constantin, Gregory Seregin

Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation

Peter Constantin, Jiahong Wu

Fronts in reactive convection: bounds, stability and instability

Peter Constantin, Alexander Kiselev, Lenya Ryzhik

Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations

Peter Constantin, Jiahong Wu

Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence

Peter Constantin, Boris Levant, Edriss S. Titi

Transport in Rotating Fluids

Peter Constantin

Vorticity measures and the inviscid limit

Peter Constantin, Milton Lopes Filho, Helena Nussenzveig Lopes +1

Note on Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems

Peter Constantin, Joonhyun La

Quenching of flames by fluid advection

Peter Constantin, Alexander Kiselev, Leonid Ryzhik

Global regularity for 2D Muskat equations with finite slope

Peter Constantin, Francisco Gancedo, Roman Shvydkoy +1

Navier-Stokes equations and fluid turbulence

Peter Constantin

Remarks on Oldroyd-B and Related Complex Fluids Models

Peter Constantin, Weiran Sun

Global weak solutions for SQG in bounded domains

Peter Constantin, Huy Quang Nguyen

Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications

Peter Constantin, Joonhyun La, Vlad Vicol

On the Nernst-Planck-Navier-Stokes system

Peter Constantin, Mihaela Ignatova

On singularity formation in a Hele-Shaw model

Peter Constantin, Tarek Elgindi, Huy Nguyen +1

Inviscid models generalizing the 2D Euler and the surface quasi-geostrophic equations

Dongho Chae, Peter Constantin, Jiahong Wu

Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models

Peter Constantin, Vlad Vicol, Jiahong Wu

Nonlinear maximum principles for dissipative linear nonlocal operators and applications

Peter Constantin, Vlad Vicol

Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations

Peter Constantin, Nathan Glatt-Holtz, Vlad Vicol