139 citations · 2.1k across the 71 of their papers we have counts for
77 papers
Pressure, Intermittency, Singularity
Peter Constantin
We give conditions for regularity of solutions of three dimensional incompressible Navier-Stokes equations based on the pressure and on structure functions.
Magnetic Relaxation of a Voigt-MHD System
Peter Constantin, Federico Pasqualotto
We construct solutions of the magnetohydrostatic (MHS) equations in bounded domains and on the torus in three spatial dimensions, as infinite time limits of Voigt approximations of…
Existence and Stability of Nonequilibrium Steady States of Nernst-Planck-Navier-Stokes Systems
Peter Constantin, Mihaela Ignatova, Fizay-Noah Lee
We consider the Nernst-Planck-Navier-Stokes system in a bounded domain of , with general nonequilibrium Dirichlet boundary conditions for the ionic concent…
Flexibility and rigidity of free boundary MHD equilibria
Peter Constantin, Theodore D. Drivas, Daniel Ginsberg
We study stationary free boundary configurations of an ideal incompressible magnetohydrodynamic fluid possessing nested flux surfaces. In 2D simply connected domains, we prove that…
Remarks on type I blow up for the 3D Euler equations and the 2D Boussinesq equations
Dongho Chae, Peter Constantin
In this paper we derive kinematic relations for quantities involving the rate of strain tensor and the Hessian of the pressure for solutions of the 3D Euler equations and the 2D Bo…
On a Type I singularity condition in terms of the pressure for the Euler equations in
Dongho Chae, Peter Constantin
We prove a blow up criterion in terms of the Hessian of the pressure of smooth solutions , of the incompressible Euler equations. We sh…