ON DYNAMICAL THREE-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM

被引：0

作者：

Avalishvili, Gia ^{[1
]}

Avalishvili, Mariam ^{[1
]}

Gordeziani, David ^{[1
]}

机构：

[1] Javakhishvili Tbilisi State Univ, GE-0816 Tbilisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 04期

关键词：

Fluid-solid interaction problems; initial value problems for abstract second order evolution equations; variational methods;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper is devoted to the investigation of one dynamical three-dimensional mathematical model of the fluid-solid interaction. The variational formulation of the corresponding initial boundary problem is considered and a problem for abstract second order evolution equation is formulated, which is a generalization of the three-dimensional initial boundary value problem. For the stated abstract problem the existence and uniqueness of solution, and the energy equality are proved, which yield the corresponding result for the dynamical three-dimensional problem of fluid-solid interaction.

引用

页码：601 / 618

页数：18

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