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

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

2008-04-17

arxiv.org/abs/0804.2879v2

Mathematics

Analysis of PDEs

Scientific paper

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].

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