The displacement initial-boundary value problem in bending of thermoelastic plates weakened by cracks

被引：1

作者：

Chudinovich, I. ^{[1
]}

Constanda, C. ^{[1
]}

机构：

[1] Univ Tulsa, Dept Math & Comp Sci, Tulsa, OK 74104 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 01期

关键词：

thermoelastic plate; crack; initial-boundary value problem; unique solvability;

D O I：

10.1016/j.jmaa.2008.07.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The displacement initial-boundary value problem for bending of a thermoelastic plate with transverse shear deformation weakened by a crack is studied, and its unique solvability in spaces of distributions is proved by means of a combination of the Laplace transformation and variational methods. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：286 / 297

页数：12

共 50 条

[21] A Fitted Scheme for a Caputo Initial-Boundary Value Problem
J. L. Gracia
E. O’Riordan
M. Stynes
Journal of Scientific Computing, 2018, 76 : 583 - 609
[22] Initial-boundary value problem for stochastic transport equations
Neves, Wladimir
Olivera, Christian
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2021, 9 (03): : 674 - 701
[23] ON SINGULAR PERTURBATION FOR A NONLINEAR INITIAL-BOUNDARY VALUE PROBLEM (Ⅱ)
康连城
Applied Mathematics and Mechanics(English Edition), 1992, (02) : 149 - 157
[24] The initial-boundary value problem for a strictly hyperbolic equations
Dongdong Liu
Kangning Yu
Lihui Guo
Computational and Applied Mathematics, 2022, 41
[25] TRAVELING WAVES IN AN INITIAL-BOUNDARY VALUE-PROBLEM
VELING, EJM
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1981, 90 : 41 - 61
[26] GLIMM METHOD AND INITIAL-BOUNDARY VALUE-PROBLEM
SABLETOUGERON, M
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1993, 10 (04): : 423 - 443
[27] Initial-boundary value problem for stochastic transport equations
Wladimir Neves
Christian Olivera
Stochastics and Partial Differential Equations: Analysis and Computations, 2021, 9 : 674 - 701
[28] An initial-boundary value problem for a viscous compressible flow
Hebeker, Friedrich-Karl
Hsiao, George C.
GEORGIAN MATHEMATICAL JOURNAL, 2007, 14 (01) : 123 - 134
[29] Initial-Boundary Value Problem for a Nonlinear ModifiedBoussinesq Equation
Zamyshlyaeva, A. A.
Bychkov, E. V.
DIFFERENTIAL EQUATIONS, 2024, 60 (08) : 1065 - 1073
[30] THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE COMPRESSIBLE VISCOELASTIC FLOWS
Hu, Xianpeng
Wang, Dehua
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (03) : 917 - 934

← 1 2 3 4 5 →