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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2021

A geometric condition for the uniform stability of linear magnetoelasticity

Résumé

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 Lamé system.

Dates et versions

hal-03860706 , version 1 (18-11-2022)

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Thomas Duyckaerts. A geometric condition for the uniform stability of linear magnetoelasticity. ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.82. ⟨10.1051/cocv/2021064⟩. ⟨hal-03860706⟩
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