Long‐time asymptotics for a coupled thermoelastic plate–membrane system
Copyright policy )Long‐time asymptotics for a coupled thermoelastic plate–membrane system
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 behavior of the solution, depending on the damping and on the presence of the rotational term.
- Universidad del Norte Colombia
- University of Konstanz Germany
Initial-boundary value problems for systems of linear higher-order PDEs, Membranes, exponential stability, thermoelastic plate-membrane system, transmission problem, Asymptotic behavior of solutions to PDEs, parabolic-hyperbolic system, polynomial stability, Thermal effects in solid mechanics, Mathematics - Analysis of PDEs, FOS: Mathematics, Plates, info:eu-repo/classification/ddc/510, Analysis of PDEs (math.AP)
Initial-boundary value problems for systems of linear higher-order PDEs, Membranes, exponential stability, thermoelastic plate-membrane system, transmission problem, Asymptotic behavior of solutions to PDEs, parabolic-hyperbolic system, polynomial stability, Thermal effects in solid mechanics, Mathematics - Analysis of PDEs, FOS: Mathematics, Plates, info:eu-repo/classification/ddc/510, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!