139 citations · 2.1k across the 71 of their papers we have counts for
5 papers · 1 filter
Note on Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems
Peter Constantin, Joonhyun La
We discuss the Lagrangian-Eulerian framework for hydrodynamic models and provide a proof of Lipschitz dependence of solutions on initial data in path space. The paper presents a co…
Vorticity measures and the inviscid limit
Peter Constantin, Milton Lopes Filho, Helena Nussenzveig Lopes +1
We consider a sequence of Leray-Hopf weak solutions of the 2D Navier-Stokes equations on a bounded domain, in the vanishing viscosity limit. We provide sufficient conditions on the…
On the Nernst-Planck-Navier-Stokes system
Peter Constantin, Mihaela Ignatova
We consider ionic electrodiffusion in fluids, described by the Nernst-Planck-Navier-Stokes system in bounded domains, in two dimensions, with Dirichlet boundary conditions for the…
Inviscid limit for SQG in bounded domains
Peter Constantin, Mihaela Ignatova, Huy Nguyen
We prove that the limit of any weakly convergent sequence of Leray-Hopf solutions of dissipative SQG equations is a weak solution of the inviscid SQG equation in bounded domains.
Compressible fluids and active potentials
Peter Constantin, Theodore D. Drivas, Huy Q. Nguyen +1
We consider a class of one dimensional compressible systems with degenerate diffusion coefficients. We establish the fact that the solutions remain smooth as long as the diffusion…