Vanishing viscosity limit of incompressible flow around a small obstacle: A special case

Abstract

<abstract><p>In this paper, we consider two dimensional viscous flow around a small obstacle. In ^{[<xref ref-type="bibr" rid="b4">4</xref>]}, the authors proved that the solutions of the Navier-Stokes system around a small obstacle of size $ \varepsilon $ converge to solutions of the Euler system in the whole space under the condition that the size of the obstacle $ \varepsilon $ is smaller than a suitable constant $ K $ times the kinematic viscosity $ \nu $. We show that, if the Euler flow is antisymmetric, then this smallness condition can be removed.</p></abstract>