Existence of solutions for the equations modeling the motion of rigid bodies in an ideal fluid

被引：13

作者：

Houot, Jean Gabriel ^{[1
]}

San Martin, Jorge ^{[2
,3
]}

Tucsnak, Marius ^{[1
]}

机构：

[1] Nancy Univ, Inst Elie Carton, CNRS INRIA, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[3] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 259卷 / 11期

关键词：

Euler equations; Rigid body-fluid interaction; INCOMPRESSIBLE PERFECT FLUID; FLOW; BALL;

D O I：

10.1016/j.jfa.2010.07.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the motion of rigid bodies in a perfect incompressible fluid. The rigid-fluid system fills a bounded domain in R-3. Adapting the strategy from Bourguignon and Brezis (1974) [1], we use the stream lines of the fluid and we eliminate the pressure by solving a Neumann problem. In this way, the system is reduced to an ordinary differential equation on a closed infinite-dimensional manifold. Using this formulation, we prove the local in time existence and uniqueness of strong solutions. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2856 / 2885

页数：30

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