Blow up and grazing collision in viscous fluid solid interaction systems

被引：13

作者：

Hillairet, Matthieu ^{[2
]}

Takahashi, Takeo ^{[1
,3
]}

机构：

[1] Nancy Univ, CNRS, UMR 7502, Inst Elie Cartan,INRIA, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Toulouse 3, IMT, F-31062 Toulouse 9, France

[3] INRIA, Team Project CORIDA, Nancy, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2010年 / 27卷 / 01期

关键词：

Fluid-structure interaction; Navier-Stokes equations; Rigid body; Cauchy theory; Qualitative properties; Collisions; RIGID BODIES; WEAK SOLUTIONS; SLOW MOTION; PLANE WALL; EXISTENCE; SPHERE; BODY;

D O I：

10.1016/j.anihpc.2009.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate qualitative properties of strong solutions to a classical system describing the fall of it rigid hall under the action of gravity inside a bounded cavity filled with a viscous incompressible fluid. We prove contact between the ball and the boundary of the cavity implies blow up of strong solutions and such a contact has to Occur in finite time under symmetry assumptions on the initial data. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：291 / 313

页数：23

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