Volume 27, 2021
Special issue in the honor of Enrique Zuazua's 60th birthday
|Number of page(s)||41|
|Published online||26 July 2021|
A geometric condition for the uniform stability of linear magnetoelasticity
LAGA (UMR 7539), Université Sorbonne Paris Nord,
and Institut Universitaire de France.
* Corresponding author: email@example.com
Accepted: 12 June 2021
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.
Mathematics Subject Classification: 74F15 / 35Q74 / 35M10 / 35L05
Key words: Magnetoelasticity / uniform stability / microlocal defect measure
© The authors. Published by EDP Sciences, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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