Existence, uniqueness, and regularity results for piezoelectric systems

被引：12

作者：

Mercier, D ^{[1
]}

Nicaise, S ^{[1
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, MACS, Inst Sci & Tech Valenciennes, F-59313 Valenciennes, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 37卷 / 02期

关键词：

elasticity system; Maxwell's system; singularities;

D O I：

10.1137/040617728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the time-harmonic piezoelectric system (a system coupling the elasticity system with the full Maxwell's equations) in polyhedral domains of the space. Existence and uniqueness results of weak solutions are proved in different cases. We describe the corner and edge singularities of that system and deduce some regularity results.

引用

页码：651 / 672

页数：22

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