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

共 50 条

[31] Existence and uniqueness for Nagdhi's model for shells with little regularity
Blouza, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (07): : 839 - 844
[32] Invariant measures of diffusion processes:: Regularity, existence, and uniqueness problems
Bogachev, VI
Röckner, M
STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2002, 227 : 69 - 87
[33] Existence, uniqueness and regularity for nonlinear parabolic equations with nonlocal terms
Alibaud, Nathael
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 14 (3-4): : 259 - 289
[34] Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions
Mercier, Gwenael
Novaga, Matteo
INTERFACES AND FREE BOUNDARIES, 2015, 17 (03) : 399 - 426
[35] Existence, uniqueness and regularity for nonlinear parabolic equations with nonlocal terms
Nathaël Alibaud
Nonlinear Differential Equations and Applications NoDEA, 2007, 14 : 259 - 289
[36] Existence and uniqueness for the linear Koiter model for shells with little regularity
Blouza, A
Le Dret, H
QUARTERLY OF APPLIED MATHEMATICS, 1999, 57 (02) : 317 - 337
[37] An inverse problem for pseudoparabolic equation of filtration: the existence, uniqueness and regularity
Lyubanova, A. Sh
Tani, A.
APPLICABLE ANALYSIS, 2011, 90 (10) : 1557 - 1571
[38] Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation
De Bouard, Anne
Hocquet, Antoine
Prohl, Andreas
NONLINEARITY, 2021, 34 (06) : 4057 - 4114
[39] Existence and regularity results for the Steiner problem
Paolini, Emanuele
Stepanov, Eugene
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2013, 46 (3-4) : 837 - 860
[40] Existence and uniqueness results for polyharmonic equations
Dalmasso, Robert
Nonlinear Analysis, Theory, Methods and Applications, 1999, 36 (01): : 131 - 137

← 1 2 3 4 5 →