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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.
Acta Applicandae Mathematicae – Springer Journals
Published: Dec 3, 2011
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