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Energy Decay and Global Attractors for Thermoviscoelastic Systems

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Donghua University, Shanghai, 201620, China

    Yuming Qin

  2. College of Science, Shanghai Second Polytechnic University, Shanghai, 201209, China

    Zhiyong Ma

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  1. Yuming Qin
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  2. Zhiyong Ma
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Correspondence to Yuming Qin.

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Qin, Y., Ma, Z. Energy Decay and Global Attractors for Thermoviscoelastic Systems. Acta Appl Math 117, 195–214 (2012). https://doi.org/10.1007/s10440-011-9657-z

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  • DOI: https://doi.org/10.1007/s10440-011-9657-z

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