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Boundary stabilization of memory-type thermoelasticity with second sound

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Abstract

In this paper, we consider an n-dimensional thermoelastic system of second sound with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a wider class of relaxation functions and generalizes previous results existing in the literature.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 860, Dhahran, 31261, Saudi Arabia

    Muhammad I. Mustafa

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  1. Muhammad I. Mustafa
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Correspondence to Muhammad I. Mustafa.

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Mustafa, M.I. Boundary stabilization of memory-type thermoelasticity with second sound. Z. Angew. Math. Phys. 63, 777–792 (2012). https://doi.org/10.1007/s00033-011-0190-8

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  • DOI: https://doi.org/10.1007/s00033-011-0190-8

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