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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 1, Pages 128–134
DOI: https://doi.org/10.1134/S0044466919010101 (Mi zvmmf10822) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Smoothness with respect to viscosity of the solutions of Navier–Stokes-type operator equations

V. I. Kachalov

Moscow Power Engineering Institute, Moscow, 111250 Russia
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DOI: https://doi.org/10.1134/S0044466919010101
Abstract: An evolutionary Navier–Stokes-type equation is considered. Due to the presence of a bilinear operator term in it, it is possible to introduce a small parameter and expand the solution in it. The main objective of the paper is to find the conditions for the ordinary (not asymptotic) convergence of the series obtained in this case.
Key words: Navier–Stokes equation, Burgers equation, Hopf–Cole transform, pseudo-analytic solution, Lomov's regularization method, heat equation.
Received: 23.03.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 1, Pages 121–127
DOI: https://doi.org/10.1134/S096554251901010X
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: V. I. Kachalov, “Smoothness with respect to viscosity of the solutions of Navier–Stokes-type operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019), 128–134; Comput. Math. Math. Phys., 59:1 (2019), 121–127
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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