Exact controllability of thermoelastic plate equation with memory
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DOI: 10.1002/mma.5514
Abstract: In this paper, we consider exact control problem for a coupled system of plate with Gurtin‐Pipkin equation. Using duality arguments, the problem is reduced to the obtention of suitable observability estimates for the dual system.… read more here.
Keywords: system; plate; equation; controllability thermoelastic ... See more keywords
Long‐time asymptotics for a coupled thermoelastic plate–membrane system
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DOI: 10.1002/mma.7592
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… read more here.
Keywords: plate membrane; system; plate; thermoelastic plate ... See more keywords
Optimal large‐time estimates and singular limits for thermoelastic plate equations with the Fourier law
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DOI: 10.1002/mma.9349
Abstract: In this paper, we study asymptotic behaviors for classical thermoelastic plate equations with the Fourier law of heat conduction in the whole space $\mathbb{R}^n$, where we introduce a reduction methodology basing on third-order (in time)… read more here.
Keywords: thermoelastic plate; time; fourier law; methodology ... See more keywords