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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 3, Pages 291–296 (Mi sjvm442)  
This article is cited in 18 scientific papers (total in 18 papers)

A continuous approximation for a 1D analogue of the Gol'dshtik model for separated flows of incompressible fluid

D. K. Potapov

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, St. Petersburg
Full-text PDF (151 kB) Citations (18)
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Abstract: A modification of a 1D analogue of the Gol'dshtik mathematical model for separated flows of incompressible fluid is considered. The model is a nonlinear differential equation with a boundary condition. Nonlinearity in the equation is continuous and depends on a small parameter. When this parameter tends to zero, we have a discontinuous nonlinearity. The results of the solutions are in accord with the results obtained for the 1D analogue of the Gol'dshtik model for separated flows of incompressible fluid.
Key words: mathematical model, separated flows, nonlinear differential equation, discontinuous nonlinearity, continuous approximation.
Received: 16.06.2010
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 3, Pages 234–238
DOI: https://doi.org/10.1134/S1995423911030050
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: D. K. Potapov, “A continuous approximation for a 1D analogue of the Gol'dshtik model for separated flows of incompressible fluid”, Sib. Zh. Vychisl. Mat., 14:3 (2011), 291–296; Num. Anal. Appl., 4:3 (2011), 234–238
Citation in format AMSBIB
\Bibitem{Pot11}
\by D.~K.~Potapov
\paper A continuous approximation for a~1D analogue of the Gol'dshtik model for separated flows of incompressible fluid
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 3
\pages 291--296
\mathnet{http://mi.mathnet.ru/sjvm442}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 3
\pages 234--238
\crossref{https://doi.org/10.1134/S1995423911030050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79960771577}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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