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

Christophe Lacave (1)

1 ICJ - Institut Camille Jordan

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].

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Christophe Lacave. Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009, 26 (4), pp.1121-1148. ⟨10.1016/j.anihpc.2008.06.004⟩. ⟨hal-00273540v2⟩