27 citations · 161 across the 30 of their papers we have counts for
6 papers · 1 filter
The Two Dimensional Euler Equations on Singular Exterior Domains
David Gérard-Varet, Christophe Lacave
This paper is a follow-up of article [Gerard-Varet and Lacave, ARMA 2013], on the existence of global weak solutions to the two dimensional Euler equations in singular domains. In…
Asymptotics of solutions to the Navier-Stokes system in exterior domains
Dragos Iftimie, Grzegorz Karch, Christophe Lacave
We consider the incompressible Navier-Stokes equations with the Dirichlet boundary condition in an exterior domain of with . We compare the long-time behavio…
Uniqueness for the 2-D Euler equations on domains with corners
Christophe Lacave, Evelyne Miot, Chao Wang
For a large class of non smooth bounded domains, existence of a global weak solution of the 2D Euler equations, with bounded vorticity, was established by Gérard-Varet and Lacave.…
Permeability through a perforated domain for the incompressible 2D Euler equations
Virginie Bonnaillie-Noël, Christophe Lacave, Nader Masmoudi
We investigate the influence of a perforated domain on the 2D Euler equations. Small inclusions of size are uniformly distributed on the unit segment or a rectangle,…
Topography influence on the Lake equations in bounded domains
Christophe Lacave, Toan T. Nguyen, Benoit Pausader
We investigate the influence of the topography on the lake equations which describe the two-dimensional horizontal velocity of a three-dimensional incompressible flow. We show that…
Long-time behavior for the two-dimensional motion of a disk in a viscous fluid
Sylvain Ervedoza, Matthieu Hillairet, Christophe Lacave
In this article, we study the long-time behavior of solutions of the two-dimensional fluid-rigid disk problem. The motion of the fluid is modeled by the two-dimensional Navier-Stok…