n2 of dissipative couplings are sufficient to guarantee the exponential decay in elasticity

被引：0

作者：

Fernandez, Jose R. ^{[1
]}

Quintanilla, Ramon ^{[2
]}

机构：

[1] Univ Vigo, Dept Matemat Aplicada 1, Campus Aguas Marcosende S-N, Vigo 36310, Spain

[2] Univ Politecn Cataluna, Dept Matemat, C Colom 11, Terrassa 08222, Spain

来源：

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

关键词：

Thermoelasticity; Dissipation mechanism; Energy decay; STABILITY;

D O I：

10.1007/s11587-022-00719-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the solutions to the problem determined by an elastic material with n(2) coupling dissipative mechanisms decay in an exponential way for every (bounded) geometry of the body, where n is the dimension of the domain, and whenever the coupling coefficients satisfy a suitable condition. We also give several examples where the solutions do not decay when the rank of the matrix of the coupling mechanisms is less than n(2) (2 in dimension 2 and 6 in dimension 3).

引用

页码：2243 / 2253

页数：11

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