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Article Dans Une Revue Computational & Applied Mathematics Année : 2022

Stability results of locally coupled wave equations with local Kelvin-Voigt damping: Cases when the supports of damping and coupling coefficients are disjoint

Résumé

In this paper, we study the direct/indirect stability of locally coupled wave equations with local Kelvin-Voigt dampings/damping, where we assume that the supports of the dampings and the coupling coefficients are disjoint. First, we prove the well-posedness, strong stability, and polynomial stability for some one dimensional coupled systems. Moreover, under some geometric control conditions, we prove the well-posedness and strong stability in the multi-dimensional case.

Dates et versions

hal-04346878 , version 1 (15-12-2023)

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Mohammad Akil, Haidar Badawi, Serge Nicaise. Stability results of locally coupled wave equations with local Kelvin-Voigt damping: Cases when the supports of damping and coupling coefficients are disjoint. Computational & Applied Mathematics, 2022, 41 (6), ⟨10.1007/s40314-022-01956-6⟩. ⟨hal-04346878⟩
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