Gevrey class for locally thermoelastic beam equations

被引：0
作者：
Bruna T. S. Sozzo
Jaime E. M. Rivera
机构：
[1] Laboratório Nacional de Computação Científica,Departamento de Matemática
[2] Universidad del Bio Bio,undefined
[3] Instituto de Matemática da Universidade Federal do Rio de Janeiro,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2022年 / 73卷
关键词：
Thermoelasticity; -semigroup; Differentiability; Gevrey class; Exponential stability.; 35Bxx;
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摘要：
In this article, we use the Euler–Bernoulli model to study the vibrations of a beam composed of two components, one consisting of a thermoelastic material and the other of a simply elastic material that does not produce dissipation. Our main result is that the semigroup associated with this model is differentiable. In particular, our proof implies the following properties of the semigroup (1) It is of Gevrey class 12. (2) It is exponentially stable. (3) It possesses the property of linear stability and has a regularizing effect on the initial data.
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