Energy Decay and Global Attractors for Thermoviscoelastic Systems

Author: Qin Yuming  

Publisher: Springer Publishing Company

ISSN: 0167-8019

Source: Acta Applicandae Mathematicae, Vol.117, Iss.1, 2012-02, pp. : 195-214

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Abstract

In this paper, we establish a decay result of global solutions and the existence of the global attractor for higher-dimensional linear thermoviscoelastic equations by introducing a velocity feedback on a part of the boundary and using multiplier techniques. We extend the results in Messaoudi and Mustafa (Nonlinear Anal. TMA 10:3132-3140, 2009) for a viscoelastic system to those for a thermoviscoelastic system.