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This article is cited in 6 scientific papers (total in 6 papers)
Dissipative solvability of an alpha model of fluid flow with memory
A. V. Zvyagina, V. G. Zvyagina, D. M. Polyakovb a Voronezh State University, Voronezh, 394018 Russia
b Southern Mathematical Institute, Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, 362027 Russia
Abstract:
The solvability, in some sense, of the initial–boundary value problem for an alpha model of a fluid with memory is analyzed. Namely, the existence of a dissipative solution is proved by applying the topological approximation approach.
Key words:
alpha model, fluid with memory, existence theorem, topological approximation approach.
Received: 26.06.2017 Revised: 26.06.2017 Accepted: 11.03.2019
Citation:
A. V. Zvyagin, V. G. Zvyagin, D. M. Polyakov, “Dissipative solvability of an alpha model of fluid flow with memory”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1243–1257; Comput. Math. Math. Phys., 59:7 (2019), 1185–1198
Linking options:
https://www.mathnet.ru/eng/zvmmf10928 https://www.mathnet.ru/eng/zvmmf/v59/i7/p1243
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Abstract page: | 261 | References: | 19 |
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