27 citations · 161 across the 30 of their papers we have counts for
6 papers · 2 filters
3D viscous incompressible fluid around one thin obstacle
Christophe Lacave
In this article, we consider Leray solutions of the Navier-Stokes equations in the exterior of one obstacle in 3D and we study the asymptotic behavior of these solutions when the o…
Uniqueness for two dimensional incompressible ideal flow on singular domains
Christophe Lacave
The existence of a solution to the two dimensional incompressible Euler equations in singular domains was established in [Gérard-Varet and Lacave, The 2D Euler equation on singular…
Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Dragoş Iftimie, Grzegorz Karch, Christophe Lacave
We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the veloci…
The 2D Euler equation on singular domains
David Gérard-Varet, Christophe Lacave
We establish the existence of global weak solutions of the 2D incompressible Euler equation, for a large class of non-smooth open sets. These open sets are the complements (in a si…
On the motion of a small body immersed in a two dimensional incompressible perfect fluid
Olivier Glass, Christophe Lacave, Franck Sueur
In this paper we prove that the motion of a solid body in a two dimensional incompressible perfect fluid converges, when the body shrinks to a point with fixed mass and circulation…
Two Dimensional Incompressible Ideal Flow Around a Small Curve
Christophe Lacave
We study the asymptotic behavior of solutions of the two dimensional incompressible Euler equations in the exterior of a curve when the curve shrinks to a point. This work links tw…