SHARP TRACE REGULARITY FOR AN ANISOTROPIC ELASTICITY SYSTEM

被引：4

作者：

Kukavica, Igor ^{[1
]}

Mazzucato, Anna L. ^{[2
]}

Tuffaha, Amjad ^{[3
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[3] Petr Inst, Dept Math, Abu Dhabi, U Arab Emirates

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 08期

基金：

美国国家科学基金会;

关键词：

Anisotropic elasticity; Legendre-Hadamard condition; hidden regularity; Lipschitz domain; fluid-structure interaction; INCOMPRESSIBLE VISCOUS-FLUID; STRUCTURE INTERACTION-MODEL; STOKES-LAME SYSTEM; WEAK SOLUTIONS; BOUNDARY CONDITIONS; HIDDEN REGULARITY; WAVE-EQUATION; MOTION; ELASTODYNAMICS; EXISTENCE;

D O I：

10.1090/S0002-9939-2013-12181-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a sharp regularity result for the normal trace of the solution to the anisotropic linear elasticity system with Dirichlet boundary condition on a Lipschitz domain. Using this result we obtain a new existence result for a fluid-structure interaction model in the case when the structure is an anisotropic elastic body.

引用

页码：2673 / 2682

页数：10

共 36 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].