Optimal Korn's inequalities for divergence-free vector fields with application to incompressible linear elastodynamics

被引：5

作者：

Ito, H ^{[1
]}

机构：

[1] Univ Electrocommun, Dept Math, Tokyo 1828585, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 1999年 / 16卷 / 01期

关键词：

Korn's inequality; best constant; incompressible media; Rayleigh's wave; elastodynamics;

D O I：

10.1007/BF03167526

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The best constants in two types of Korn's inequality for divergence-free vector fields on the half space are established. Moreover, one of those, which is equal to the square of the Rayleigh speed for a certain incompressible elastic material, proves to be important to the solvability of a certain mixed problem of incompressible linear elastodynamics with a time-dependent displacement-traction interface on the boundary.

引用

页码：101 / 121

页数：21

共 24 条

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Achenbach J., 1973, WAVE PROPAGATION ELA

[2]

[Anonymous], 1972, MECH SOLID 2

[3] THE INITIAL VALUE-PROBLEM FOR THE NAVIER-STOKES EQUATIONS WITH A FREE-SURFACE [J].