A geometric condition for the uniform stability of linear magnetoelasticity

被引：0

作者：

Duyckaerts, Thomas ^{[1
,2
]}

机构：

[1] Univ Sorbonne Paris Nord, LAGA, UMR 7539, Villetaneuse, France

[2] Inst Univ France, Paris, France

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2021年 / 27卷

关键词：

Magnetoelasticity; uniform stability; microlocal defect measure; POLYNOMIAL STABILITY; ENERGY DECAY; WAVES; SYSTEM; THERMOELASTICITY; CONTROLLABILITY; STABILIZATION; RATES;

D O I：

10.1051/cocv/2021064

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We give a necessary and sufficient condition, of geometrical type, for the uniform decay of energy of solutions of the linear system of magnetoelasticity in a bounded domain with smooth boundary. A Dirichlet-type boundary condition is assumed. Our strategy is to use microlocal defect measures to show suitable observability inequalities on high-frequency solutions of the Lame system.

引用

页数：41

共 24 条

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