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Journal articles
Stabilization of the wave equation with moving boundary
Abstract : We deal with the wave equation with assigned moving boundary (0 < x < a(t)) upon which DirichletNeuman boundary conditions are satisfied, here a(t) is assumed to move slower than light and periodically. We give a feedback which guarantees the exponential decay of the energy. The proof relies on a reduction theorem by Ammari et al. (2017) [1] and Yoccoz (1984) [13]. At the end we give a remark on the moving-pointwise stabilization problem. (C) 2017 European Control Association. Published by Elsevier Ltd. All rights reserved.
https://hal.uvsq.fr/hal-02169452
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Submitted on : Monday, July 1, 2019 - 11:36:43 AM
Last modification on : Tuesday, January 4, 2022 - 4:47:50 AM
Contributor : Équipe Hal Uvsq Connect in order to contact the contributor
Submitted on : Monday, July 1, 2019 - 11:36:43 AM
Last modification on : Tuesday, January 4, 2022 - 4:47:50 AM
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