Abstract
We establish a weak solvability of the initial-boundary value problem for a dynamic model of thermoviscoelasticity. The problem under consideration is an extension of the Jeffreys model obtained with the help of a consequence of the energy balance equation. We study the corresponding initial-boundary value problem by splitting the problem and reducing it to an operator equation in a suitable Banach space.
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Original Russian Text © V.G. Zvyagin and V.P. Orlov, 2013, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, No. 9, pp. 64–69.
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Zvyagin, V.G., Orlov, V.P. A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Russ Math. 57, 53–57 (2013). https://doi.org/10.3103/S1066369X13090089
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DOI: https://doi.org/10.3103/S1066369X13090089