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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 6, Pages 95–101
DOI: https://doi.org/10.26907/0021-3446-2021-6-95-101 (Mi ivm9689) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory

V. G. Zvyagin, V. P. Orlov

Voronezh State University, 1 Universitetskaya pl., Voronezh, 394018 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-6-95-101
Abstract: A system of equations of dynamics of a thermoviscoelastic continuous medium with an Oldroyd-type rheological relation, which is a generalization of the Navier-Stokes-Fourier system, is considered. In the planar case the existence and uniqueness of strong solutions are established. The proof is based on the construction the Galerkin approximations and their strong estimates which provide the corresponding limit passage.
Keywords: Navier-Stokes-Fourier equation, Oldroid model, strong solution, thermoviscoelastic continuous medium, apriori estimates.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00051
Received: 22.02.2021
Revised: 22.02.2021
Accepted: 30.03.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 6, Pages 84–89
DOI: https://doi.org/10.3103/S1066369X21060098
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. G. Zvyagin, V. P. Orlov, “Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 6, 95–101; Russian Math. (Iz. VUZ), 65:6 (2021), 84–89
Citation in format AMSBIB
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\by V.~G.~Zvyagin, V.~P.~Orlov
\paper Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 6
\pages 95--101
\mathnet{http://mi.mathnet.ru/ivm9689}
\crossref{https://doi.org/10.26907/0021-3446-2021-6-95-101}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 6
\pages 84--89
\crossref{https://doi.org/10.3103/S1066369X21060098}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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