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

Abstract

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].

References in corpus (2)

• Incompressible flow around a small obstacle and the vanishing viscosity limit
• Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve

Cited by in corpus (7)

• Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve
• The Two Dimensional Euler Equations on Singular Exterior Domains
• Vanishing viscosity limit for an expanding domain in space
• On the small rigid body limit in 3D incompressible flows
• Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain
• 3D viscous incompressible fluid around one thin obstacle
• Small moving rigid body into a viscous incompressible fluid