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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 5, Pages 33–42
DOI: https://doi.org/10.26907/0021-3446-2021-5-33-42 (Mi ivm9674) 		 
An alpha-model of polymer solutions motion

A. V. Zvyaginab

a Voronezh State University, 1 Universitetskaya sq., Voronezh, 394018 Russia
b Voronezh State Pedagogical University, 86 Lenin str., Voronezh, 394043 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-5-33-42
Abstract: The initial–boundary value problem for the alpha–model describing the motion of weakly concentrated aqueous polymer solutions is investigated at the paper. The considered mathematical model is studied with the rheological relation satisfing the objectivity principle. The weak solutions existence for the alpha–model is proved on the based of the topological approximation apporoach for hydrodynamic problems study. Also the convergence of alpha–models solutions to a solution of the original model is proved when alpha tends to zero.
Keywords: viscoelastic fluid, alpha–model, objectivity principle, existence theorem, topological degree.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-60014
Ministry of Science and Higher Education of the Russian Federation FZGU-2020-0035
Received: 12.02.2021
Revised: 12.02.2021
Accepted: 30.03.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 5, Pages 21–29
DOI: https://doi.org/10.3103/S1066369X21050054
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. V. Zvyagin, “An alpha-model of polymer solutions motion”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 5, 33–42; Russian Math. (Iz. VUZ), 65:5 (2021), 21–29
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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