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Stability of the trivial solution of a one-dimensional mathematical model of thermoelasticity

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Abstract

Lyapunov stability is established for a one-dimensional physically linear mathematical model of thermoelasticity. For this purpose, the convergent iteration process is constructed; it consists of solving hyperbolic and parabolic problems successively by using new estimates for the solution of a mixed problem for the wave equation.

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Authors and Affiliations

  1. Voronezh University, Voronezh

    V. P. Orlov

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  1. V. P. Orlov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1239–1252, September, 1993.

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Orlov, V.P. Stability of the trivial solution of a one-dimensional mathematical model of thermoelasticity. Ukr Math J 45, 1390–1405 (1993). https://doi.org/10.1007/BF01058637

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  • DOI: https://doi.org/10.1007/BF01058637

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