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

被引：1
|
作者：
Zhang, Ming [1 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 03期
关键词：
Thermodiffusion equations; Type III; Global existence; Exponential stability; Semigroup approach; Energy method; DYNAMICAL PROBLEM; THERMOELASTICITY; SYSTEM;
D O I：
10.1007/s00033-023-02006-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：14
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