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

Christophe Lacave (1)

1 ICJ - Institut Camille Jordan

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 velocity. In the present work, we consider the same problem in the viscous case, proving convergence to a solution of the Navier-Stokes equations in the exterior of a curve. The uniqueness of the limit solution is also shown.

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

Christophe Lacave. Two Dimensional Incompressible Viscous Flow Around a Thin Obstacle Tending to a Curve. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2009, 139 (6), pp.1237-1254. ⟨10.1017/S0308210508000632⟩. ⟨hal-00294809v3⟩