Global existence and exponential stability of solutions for thermodiffusion equations of type III

被引：0
|
作者：
Ming Zhang
机构：
[1] Hangzhou Dianzi University,School of of Science
来源：
Zeitschrift für angewandte Mathematik und Physik | 2023年 / 74卷
关键词：
Thermodiffusion equations; Type III; Global existence; Exponential stability; Semigroup approach; Energy method; 35B40; 35M13; 35Q79;
D O I：
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摘要：
In this paper, we consider an initial boundary value problem for the one-dimensional thermodiffusion equations of type III. By the semigroup approach and the energy method, we establish the global existence and exponential stability for the solutions in a bounded region. The main work of this paper is to extend the study of thermodiffusion equations to the model of type III, which can be used as a reference for the study of other types of partial differential equations.
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