59 citations · 71 across the 6 of their papers we have counts for
6 papers
Radiative Vlasov-Maxwell Equations
Peter Constantin, Hezekiah Grayer
The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reactio…
Local formulas for the hydrodynamic pressure and applications
Peter Constantin
We provide local formulas for the pressure of incompressible fluids. The pressure can be expressed in terms of its average and averages of squares of velocity increments in arbitra…
Inviscid limit for damped and driven incompressible Navier-Stokes equations in
P. Constantin, F. Ramos
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in . We prove that the rate of dissipation of en…
Diffusion and Mixing in Fluid Flow
P. Constantin, A. Kiselev, L. Ryzhik +1
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the…
Non-Planar Fronts in Boussinesq Reactive Flows
H. Berestycki, P. Constantin, L. Ryzhik
We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar…
An Eulerian-Lagrangian Approach for Incompressible Fluids: Local Theory
P. Constantin
We present a local existence result for the three dimensional incompressible Euler equations. The solution is constructed using a formulation of the equations as an active vector s…