On a free boundary problem for the stationary Navier-Stokes equations

被引：0
|
作者：
Bemelmans, Josef [1 ]
机构：
[1] Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken,D-6600, Germany
来源：
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire | 1987年 / 4卷 / 06期
关键词：
D O I：
10.1016/S0294-1449(16)30355-9
中图分类号：
O172 [微积分];
学科分类号：
摘要：
We investigate stationary flows in a fluid body together with its free boundary. The fluid is assumed to be viscous and incompressible; the free boundary is governed by continuity of the normal stress. Hence the configuration to be considered here can be regarded as a generalization of a classical equilibrium figure. The main tool in proving existence of a regular solution consists in a hard implicit function theorem. © 2016 L'Association Publications de l'Institut Henri Poincaré
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页码：517 / 547
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