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Long‐time asymptotics for a coupled thermoelastic plate–membrane system

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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… Click to show full 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.

Keywords: plate membrane; system; plate; thermoelastic plate; long time

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021

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