Optimal energy decay for the wave-heat system on a rectangular domain

We study the rate of energy decay for solutions of a coupled wave-heat system on a rectangular domain. Using techniques from the theory of $C_0$-semigroups, and in particular a well-known result due to Borichev and Tomilov, we prove that the energy of classical solutions decays like $t^{-2/3}$ as $t...

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Bibliographic Details
Main Authors: Batty, C, Paunonen, L, Seifert, D
Format: Journal article
Published: Society for Industrial and Applied Mathematics 2019