Two dimensional incompressible ideal flow around a thin obstacle tending to a curve
Christophe Lacave
Université de Lyon, Université Lyon 1, INSA de Lyon, F-69621, Ecole Centrale de Lyon, CNRS, UMR 5208, Institut Camille Jordan, Batiment du Doyen Jean Braconnier, 43, blvd du 11 novembre 1918, F-69622 Villeurbanne Cedex, France
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 [D. Iftimie, M.C. Lopes Filho, H.J. Nussenzveig Lopes, Two dimensional incompressible ideal flow around a small obstacle, Comm. Partial Differential Equations 28 (1–2) (2003) 349–379].
Cite this article
Christophe Lacave, Two dimensional incompressible ideal flow around a thin obstacle tending to a curve. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 4, pp. 1121–1148
DOI 10.1016/J.ANIHPC.2008.06.004