In a bounded domain, we consider a thermoelastic plate with rotational forces. The rotational
forces involve the spectral fractional Laplacian, with power parameter 0≤ θ≤ 1. The model …

We investigate coupled systems of thermoelastic type in a general abstract form both
modeling Fourier and Cattaneo type heat conduction. In particular we take into account a …

In this paper, we provide a complete regularity analysis for the following abstract
thermoelastic system with inertial term where A is a self-adjoint, positive definite operator on …

We consider the linear evolution system u ttt+ α u tt+ β Δ 2 ut+ γ Δ 2 u=-η Δ θ θ t-κ Δ θ= η Δ u
tt+ α η Δ ut describing the dynamics of a thermoviscoelastic plate of MGT type with Fourier …

In this work, we study the asymptotic behavior of a system of two-coupled plate equations
where one of these equations is conservative and the other one has dissipative properties …

We study the stability of an abstract thermoelastic system, which consists of an abstract
elastic equation with or without inertial term and a heat equation of Cattaneo type. A …

We consider the coupled linear system (∂ ttu+∂ xxxxu+ γ∂ tu+ k (u− v)+ h∂ t (u− v)= 0 ε∂
ttv−∂ xxv− k (u− v)− h∂ t (u− v)= 0 describing the vibrations of a string-beam system related …

This paper studies the stability of an abstract thermoelastic system with Cattaneo's law,
which describes finite heat propagation speed in a medium. We introduce a region of …

Exponential Stability for a Bresse System with Hybrid Dissipation | Acta Applicandae Mathematicae
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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 …