arXiv subjects

Christophe Lacave

Publications and source records attributed to Christophe Lacave.

38 records · Page 3Linked to original sources

arXiv2009

Uniqueness for the vortex-wave system when the vorticity is constant near the point vortex

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 point vortex. Our method relies on the Eulerian approach for this problem and in particular on the formulation in terms of the velocity.

math.AP↗

arXiv2008

Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve

In this work we study the asymptotic behavior of solutions of the incompressible two-dimensional Euler equations in the exterior of a single smooth obstacle when the obstacle becomes very thin tending to a curve. We extend results by Iftimie, Lopes Filho and Nussenzveig Lopes, obtained in the context of an obstacle tending to a point, see [Comm. PDE, {\bf 28} (2003), 349-379].

math.AP↗