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arXiv · 1911.10161

Long-time asymptotics for a coupled thermoelastic plate-membrane system

Bienvenido Barraza Martínez·Robert Denk·Jonathan González Ospino·Jairo Hernández Monzón·Sophia Rau
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Abstract

In this paper we consider a transmission problem for a system of a thermoelastic plate with (or without) rotational inertia term coupled with a membrane with different variants of damping for the plate and/or the membrane. We prove well-posedness of the problem and higher regularity of the solution and study the asymptotic behaviour of the solution, depending on the damping and on the presence of the rotational term.

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Bienvenido Barraza Martínez, Robert Denk, Jonathan González Ospino, Jairo Hernández Monzón, Sophia Rau. 2019-11-22. Long-time asymptotics for a coupled thermoelastic plate-membrane system. https://doi.org/10.1002/mma.7592

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