Two dimensional incompressible ideal flow around a thin obstacle tending to a curve

被引：19

作者：

Lacave, Christophe ^{[1
,2
]}

机构：

[1] Univ Lyon 1, INSA Lyon, F-69621 Villeurbanne, France

[2] Univ Lyon 1, CNRS, Ecole Cent Lyon, Inst Camille Jordan,UMR 5208, F-69622 Villeurbanne, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 04期

关键词：

Incompressible flow; Ideal flow; Exterior flow;

D O I：

10.1016/j.anihpc.2008.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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]. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：1121 / 1148

页数：28

共 6 条

[1]

[Anonymous], 1992, GRUNDLEHREN MATH WIS

[2] Two-dimensional incompressible viscous flow around a small obstacle [J].