On uniqueness and stability in generalized thermoelasticity

Sherief, Hany H.

doi:10.1090/qam/872828

Author: Hany H. Sherief
Journal: Quart. Appl. Math. 44 (1987), 773-778
MSC: Primary 73U05
DOI: https://doi.org/10.1090/qam/872828
MathSciNet review: 872828
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Abstract: A uniqueness theorem for the equations of generalized thermoelasticity with one relaxation time, derived by Dhaliwal and Sherief [1], is proved. The stability of the null solution in the sense of Liapounov, measured by a suitable norm, is shown. The corresponding equations for a homogeneous isotropic material, derived by Lord and Shulman [2], are considered as a special case.

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