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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 4, Pages 409–415 (Mi sjvm490)  
This article is cited in 9 scientific papers (total in 9 papers)

On solutions of the Gol'dshtik problem

D. K. Potapov

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, St. Petersburg
Full-text PDF (751 kB) Citations (9)
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Abstract: The Gol'dshtik model for separated flows of incompressible fluid is considered. A solution of the given two-dimensional problem in mathematical physics for a finite domain is found with the finite element method. Estimations of the differential operator are obtained. A result on the number of solutions of the Gol'dshtik problem is obtained using the variational method.
Key words: Gol'dshtik problem, nonlinear differential equation, discontinuous nonlinearity, finite element method, variational method, estimations of differential operator, number of solutions.
Received: 24.11.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 4, Pages 342–347
DOI: https://doi.org/10.1134/S1995423912040064
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: D. K. Potapov, “On solutions of the Gol'dshtik problem”, Sib. Zh. Vychisl. Mat., 15:4 (2012), 409–415; Num. Anal. Appl., 5:4 (2012), 342–347
Citation in format AMSBIB
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\by D.~K.~Potapov
\paper On solutions of the Gol'dshtik problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 4
\pages 409--415
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\elib{https://elibrary.ru/item.asp?id=20494971}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 4
\pages 342--347
\crossref{https://doi.org/10.1134/S1995423912040064}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870416594}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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