Initial-boundary value problems for a class of nonlinear thermoelastic plate equations

被引：0

作者：

Zhang Jian-Wen ^{[1
]}

Rong Xiao-Liang ^{[1
]}

Wu Run-Heng ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Coll Sci, Taiyuan 030024, Peoples R China

[2] N China Univ Technol, Coll Sci, Beijing 100041, Peoples R China

来源：

CHINESE PHYSICS B | 2009年 / 18卷 / 09期

基金：

中国国家自然科学基金;

关键词：

thermoelastic; hinged plate; weak solution; classical solution;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies initial-boundary value problems for a class of nonlinear thermoelastic plate equations. Under some certain initial data and boundary conditions, it obtains an existence and uniqueness theorem of global weak solutions of the nonlinear thermoelstic plate equations, by means of the Galerkin method. Moreover, it also proves the existence of strong and classical solutions.

引用

页码：3693 / 3701

页数：9

共 50 条

[1] Initial-boundary value problems for a class of nonlinear thermoelastic plate equations
张建文
荣晓亮
吴润衡
Chinese Physics B, 2009, 18 (09) : 3693 - 3701
[2] The Initial-boundary Value Problem of a Nonlinear Thermoelastic Beam Equations
Zhang Jianwen
Wang Danxia
APPLIED MECHANICS AND MECHANICAL ENGINEERING, PTS 1-3, 2010, 29-32 : 583 - 588
[3] The initial-boundary value problems for a class of nonlinear wave equations with damping term
Chen, Guowang
Lu, Bo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) : 1 - 15
[4] Strong Solution of Initial-Boundary Value Problem for a Class of Nonlinear Thermoelastic Couple Beam Equations
Wang, Cai-xian
Zhang, Jian-wen
WEB INFORMATION SYSTEMS AND MINING, PT I, 2011, 6987 : 92 - 97
[5] BOUNDARY PROBLEMS AND INITIAL-BOUNDARY VALUE PROBLEMS FOR ONE CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH LEVY LAPLACIAN
Feller, M. N.
Kovtun, I. I.
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2011, 17 (02): : 118 - 125
[6] On an initial-boundary value problem for a class of nonlinear Schrodinger equations
Jian, Z
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (5-6) : 687 - 692
[7] Mixed initial-boundary value problems for thermoelastic plates
Chudinovich, I
Constanda, C
Integral Methods in Science and Engineering: Theoretical and Practical Aspects, 2006, : 37 - 45
[8] Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions
Bouziani, A
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (02) : 371 - 386
[9] Initial-boundary value problems for linear equations of electrodynamics with nonlinear boundary conditions
Lukin, Konstantin
ALGEBRA, GEOMETRY, AND MATHEMATICAL PHYSICS 2010, 2012, 346
[10] INITIAL-BOUNDARY VALUE PROBLEMS FOR NONLINEAR PSEUDOPARABOLIC EQUATIONS IN A CRITICAL CASE
Kaikina, Elena I.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,

← 1 2 3 4 5 →