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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 5, Pages 91–96
DOI: https://doi.org/10.26907/0021-3446-2024-5-91-96 (Mi ivm9984) 		 
Brief communications

Weak solvability of one model of a nonlinearly retarded fluid in a thermal field

E. I. Kostenko

Voronezh State University, 1 University Squ., Voronezh, 394018 Russia
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DOI: https://doi.org/10.26907/0021-3446-2024-5-91-96
Abstract: For the initial-boundary value problem of the dynamics of a thermoviscoelastic medium of Oldroyd type in the planar case, a nonlocal theorem regarding the existence of a weak solution is established.
Keywords: weak solvability, nonlinearly retarded fluid, existence theorem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZGU-2023-0007
Received: 12.03.2024
Revised: 12.03.2024
Accepted: 20.03.2024
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. I. Kostenko, “Weak solvability of one model of a nonlinearly retarded fluid in a thermal field”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 5, 91–96
Citation in format AMSBIB
\Bibitem{Kos24}
\by E.~I.~Kostenko
\paper Weak solvability of one model of a nonlinearly retarded fluid in a thermal field
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 5
\pages 91--96
\mathnet{http://mi.mathnet.ru/ivm9984}
\crossref{https://doi.org/10.26907/0021-3446-2024-5-91-96}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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