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Article Dans Une Revue Journal of the Mathematical Society of Japan Année : 2018

Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation

Romain Joly

Résumé

We prove local and global energy decay for the asymptotically periodic damped wave equation on the Euclidean space. Since the behavior of high frequencies is already mostly understood, this paper is mainly about the contribution of low frequencies. We show in particular that the damped wave behaves like a solution of a heat equation which depends on the H-limit of the metric and the mean value of the absorption index.
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Dates et versions

hal-04104894 , version 1 (05-04-2024)

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Romain Joly, Julien Royer. Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation. Journal of the Mathematical Society of Japan, 2018, 70 (4), ⟨10.2969/jmsj/77667766⟩. ⟨hal-04104894⟩
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