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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 6, Pages 78–84 (Mi ivm9369)  
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

On solvability of one alpha-model of fluid motion with memory

A. V. Zvyaginab, V. G. Zvyaginb, D. M. Polyakovbc

a Peoples Friendship University of Russia, 6 Miklukho-Maklaya str., Moscow, 117198 Russia
b Voronezh State University, 1 Universitetskaya sq., Voronezh, 394018 Russia
c Southern Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy of Sciences, 22 Markusa str., Vladikavkaz, 362027 Russia
Full-text PDF (193 kB) Citations (5)
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Abstract: We study a weak solvability of one alpha-model for non-Newtonian hydrodynamics. If the parameter alpha equals zero, then the considered alpha-model coincides with the classical model describing the motion of a fluid with memory. This model takes into account the fluid's memory along the trajectory. Additionally, we show that solutions of the alpha-model tend to solutions to the classical model as the parameter alpha tends to zero.
Keywords: non-Newtonian hydrodynamics, alpha-model, fluid with memory, existence theorem, regular lagrangian flow.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0008
14.Z50.31.0037
Russian Foundation for Basic Research 16-01-00370_а
Received: 04.12.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 6, Pages 69–74
DOI: https://doi.org/10.3103/S1066369X18060075
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. V. Zvyagin, V. G. Zvyagin, D. M. Polyakov, “On solvability of one alpha-model of fluid motion with memory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6, 78–84; Russian Math. (Iz. VUZ), 62:6 (2018), 69–74
Citation in format AMSBIB
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\paper On solvability of one alpha-model of fluid motion with memory
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 6
\pages 78--84
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\jour Russian Math. (Iz. VUZ)
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\vol 62
\issue 6
\pages 69--74
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :60
    References:28
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