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.
Keywords: Magnetoelasticity, uniform stability, microlocal defect measure
@article{COCV_2021__27_1_A84_0,
author = {Duyckaerts, Thomas},
editor = {Buttazzo, G. and Casas, E. and de Teresa, L. and Glowinski, R. and Leugering, G. and Tr\'elat, E. and Zhang, X.},
title = {A geometric condition for the uniform stability of linear magnetoelasticity},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2021},
publisher = {EDP-Sciences},
volume = {27},
doi = {10.1051/cocv/2021064},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2021064/}
}
TY - JOUR AU - Duyckaerts, Thomas ED - Buttazzo, G. ED - Casas, E. ED - de Teresa, L. ED - Glowinski, R. ED - Leugering, G. ED - Trélat, E. ED - Zhang, X. TI - A geometric condition for the uniform stability of linear magnetoelasticity JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2021 VL - 27 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2021064/ DO - 10.1051/cocv/2021064 LA - en ID - COCV_2021__27_1_A84_0 ER -
%0 Journal Article %A Duyckaerts, Thomas %E Buttazzo, G. %E Casas, E. %E de Teresa, L. %E Glowinski, R. %E Leugering, G. %E Trélat, E. %E Zhang, X. %T A geometric condition for the uniform stability of linear magnetoelasticity %J ESAIM: Control, Optimisation and Calculus of Variations %D 2021 %V 27 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2021064/ %R 10.1051/cocv/2021064 %G en %F COCV_2021__27_1_A84_0
Duyckaerts, Thomas. A geometric condition for the uniform stability of linear magnetoelasticity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 27 (2021), article no. 82. doi: 10.1051/cocv/2021064
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