9 citations · 9 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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…
Uniqueness for the vortex-wave system when the vorticity is constant near the point vortex
Christophe Lacave, Evelyne Miot
We prove uniqueness for the vortex-wave system with a single point vortex introduced by Marchioro and Pulvirenti in the case where the vorticity is initially constant near the poin…
Two Dimensional Incompressible Viscous Flow Around a Thin Obstacle Tending to a Curve
Christophe Lacave
In [Lacave, IHP, ana, to appear (2008)] the author considered the two dimensional Euler equations in the exterior of a thin obstacle shrinking to a curve and determined the limit v…