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

Author:

Kostenko E. I.1

Affiliation:

1. Voronezh State University

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.

Publisher

Kazan Federal University

Reference10 articles.

1. Eirich F.R. Rheology: Theory and Applications (Acad. Press, New York, 1955).

2. Oskolkov A.P. Nachal'no-kraevye zadachi dlya uravnenii dvizheniya zhidkostei Kel'vina–Foigta i zhidkostei Oldroita, Tr. MIAN SSSR 179, 126–164 (1988).

3. Antontsev S.N., Kazhikhov A.V., Monakhov V.N. Kraevye zadachi mekhaniki neodnorodnykh zhidkostei (Nauka, Novosibirsk, 1983).

4. Agranovich Yu.Ya., Sobolevskii P.E. Issledovanie matematicheskikh modelei vyazkouprugikh zhidkostei, DAN USSR. Ser. A (10), 3–7 (1989).

5. Litvinov V.G. Dvizhenie nelineino-vyazkoi zhidkosti (Nauka, M., 1982).

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