Exponential stability of a coupled wave system with thermal effects

被引：0

作者：

Zhang, Li ^{[1
]}

Liu, Wenjun ^{[1
]}

An, Yanning ^{[1
]}

Cao, Xinxin ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

来源：

RICERCHE DI MATEMATICA | 2024年 / 73卷 / 04期

关键词：

Coupled wave equations; Exponential stability; Thermal effects; Semigroup method; TIMOSHENKO SYSTEMS; ENERGY DECAY; EQUATIONS; THERMOELASTICITY; BOUNDARY;

D O I：

10.1007/s11587-022-00714-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the stability of a coupled wave system in one-dimensional space with thermal effects, which is coupled by velocities. We prove the well-posedness of the system by using Lumer-Phillips theorem, and then turn out the exponential stability of the system via the semigroup method. The main novelty of this paper is that the heat-affected system achieves exponential stability compared with the previous non-thermal system.

引用

页码：2191 / 2207

页数：17

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