MEMORY RELAXATION OF TYPE III THERMOELASTIC EXTENSIBLE BEAMS AND BERGER PLATES

被引：16
作者：
Dell'Oro, Filippo [1 ]
Pata, Vittorino [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat Francesco Brioschi, I-20133 Milan, Italy
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2012年 / 1卷 / 02期
关键词：
Type III thermoelastic beams and plates; equations with memory; Lyapunov functional; global attractor; regularity; GLOBAL ATTRACTORS; UNIFIED PROCEDURE; DEFORMABLE MEDIA; CONSTRUCTION; STABILITY; EQUATIONS; BEHAVIOR;
D O I：
10.3934/eect.2012.1.251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze an abstract version of the evolution system ruling the dynamics of a memory relaxation of a type III thermoelastic extensible beam or Berger plate occupying a volume Omega subject to hinged boundary conditions for u and to the Dirichlet boundary condition for a, where the dissipation is entirely contributed by the convolution term in the second equation. The study of the asymptotic properties of the related solution semigroup is addressed.
引用
收藏
页码：251 / 270
页数：20
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