Qualitative aspects in dual-phase-lag thermoelasticity

被引：99
|
作者：
Quintanilla, R
Racke, R
机构：
[1] UPC Terrassa, Dept Appl Math 2, Terrassa 08222, Spain
[2] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2006年 / 66卷 / 03期
关键词：
hyperbolic model in thermoelasticity; well-posedness; spatial evolution in a semi-infinite cylinder; exponential stability;
D O I：
10.1137/05062860X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the system of dual-phase-lag thermoelasticity proposed by Chandrase-kharaiah and Tzou. First, we prove that the solutions of the problem are generated by a semigroup of quasi-contractions. Thus, the problem of the third order in time is well-posed. Then the exponential stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder and a result on the domain of influence is obtained.
引用
收藏
页码：977 / 1001
页数：25
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