On the solutions of a boundary value problem of linear thermoelasticity system with nonlocal conditions

被引:5
作者
Bougoffa, Lazhar [1 ]
Al-Jeaid, Hind K.
Khanfer, Ammar
机构
[1] Al Imam Univ, Fac Sci, Dept Math, Riyadh 11623, Saudi Arabia
关键词
Coupled system; Nonlocal boundary conditions; A priori estimate; Separation method; EQUATION;
D O I
10.1016/j.amc.2010.10.037
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies a boundary value problem with nonlocal conditions for a coupled system of linear thermoelasticity in one-dimensional case. Using an a priori estimate, we prove the uniqueness of the solution. Also, some explicit solutions are obtained by using the separation method. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:4227 / 4233
页数:7
相关论文
共 8 条
[1]  
Albano P., 2000, ELECTRON J DIFFER EQ, P1
[2]  
[Anonymous], 1964, COMP MATH MATH PHYS+
[3]   STEPWISE STABILITY FOR THE HEAT-EQUATION WITH A NONLOCAL CONSTRAINT [J].
CAHLON, B ;
KULKARNI, DM ;
SHI, P .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (02) :571-593
[4]  
Cannon J.R., 1963, Quarterly of Applied Mathematics, V21, P155, DOI DOI 10.1090/QAM/160437
[5]   Null-controllability of a system of linear thermoelasticity [J].
Lebeau, G ;
Zuazua, E .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1998, 141 (04) :297-329
[6]  
Mesloub S, 2005, MAT VESTN, V57, P19
[7]  
Muravei L.A., 1993, Matem. Zametki, V54, P98
[8]  
SAMARSKII AA, 1980, DIFF EQUAT+, V16, P1221