Long-time asymptotics for a coupled thermoelastic plate-membrane system
Analysis of PDEs
2022-02-23 v1
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.
Cite
@article{arxiv.1911.10161,
title = {Long-time asymptotics for a coupled thermoelastic plate-membrane system},
author = {Bienvenido Barraza Martínez and Robert Denk and Jonathan González Ospino and Jairo Hernández Monzón and Sophia Rau},
journal= {arXiv preprint arXiv:1911.10161},
year = {2022}
}
Comments
30 pages