STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY-Reference-Cited by-同舟云学术

STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY

Published:2001-06 Issue:04 Volume:11 Page:627-644
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

GIORGI CLAUDIO¹,PATA VITTORINO²

Affiliation:

1. Dipartimento di Matematica, Università di Brescia, via Valotti 9, I-25133 Brescia, Italy

2. Dipartimento di Matematica "F. Brioschi", Politecnico di Milano, via Bonardi 9, I-20133 Milano, Italy

Abstract

An abstract linear thermoelastic system with memory is here considered. Existence, uniqueness, and continuous dependence results are given. In presence of regular and convex memory kernels, the system is shown to be exponentially stable. An application to the Kirchhoff plate equation is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202501001021

Reference20 articles.

1. On the Energy Decay of a Linear Thermoelastic Bar

2. On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity

3. Asymptotic behavior of a semilinear problem in heat conduction with memory

4. Mathematical models of thin thermoviscoelastic plates

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