ON THE ENERGY DECAY OF A LINEAR THERMOELASTIC BAR

被引:34
作者
BURNS, JA
LIU, ZY
ZHENG, SM
机构
[1] UNIV MINNESOTA,DEPT MATH & STAT,DULUTH,MN 55812
[2] FUDAN UNIV,INST MATH,SHANGHAI 200433,PEOPLES R CHINA
关键词
D O I
10.1006/jmaa.1993.1370
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, it is proved that the energy of the one-dimensional linear thermoelastic system with the commonly used natural boundary conditions decays exponentially when the gradient of the initial displacement, the initial velocity, and the initial temperature distribution are all the L2 functions. © 1993 Academic Press, Inc.
引用
收藏
页码:574 / 591
页数:18
相关论文
共 17 条
[1]  
BALAKRISHNAN AV, 1981, APPLIED FUNCTIONAL A
[2]   APPROXIMATIONS OF THERMOELASTIC AND VISCOELASTIC CONTROL-SYSTEMS [J].
BURNS, JA ;
LIU, ZY ;
MILLER, RE .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1991, 12 (1-2) :79-135
[3]  
Curtain R.F., 1978, INFINITE DIMENSIONAL
[5]   APPROXIMATION IN CONTROL OF THERMOELASTIC SYSTEMS [J].
GIBSON, JS ;
ROSEN, IG ;
TAO, G .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (05) :1163-1189
[6]   EXPONENTIAL ENERGY DECAY IN A LINEAR THERMOELASTIC ROD [J].
HANSEN, SW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (02) :429-442
[7]  
JIANG S, 1991, GLOBAL SOLUTION NEUM
[8]  
KIM JU, 1992, SIAM J MATH ANAL, V23, P889
[9]   EXPONENTIAL STABILITY OF THE SEMIGROUP ASSOCIATED WITH A THERMOELASTIC SYSTEM [J].
LIU, ZG ;
ZHENG, SM .
QUARTERLY OF APPLIED MATHEMATICS, 1993, 51 (03) :535-545
[10]  
LIU ZY, IN PRESS SIAM J CONT