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J. Sib. Fed. Univ. Math. Phys., 2010, Volume 3, Issue 4, Pages 500–506 (Mi jsfu148)  
This article is cited in 5 scientific papers (total in 5 papers)

The dual problem to M. A. Goldshtik problem with arbitrary vorticity

Isaak I. Vainshtein

Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The existence of solutions of the dual problem to M. A. Goldshtik problem with arbitrary vorticity was proved in this paper. The effect of non-uniqueness of the solution was determined on a model example.

Keywords: vortex and potential flows, integral equation, Green function, Liouville equation.

Full text: PDF file (227 kB)
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Document Type: Article
UDC: 517.956.25+532.51
Received: 18.06.2010
Received in revised form: 25.07.2010
Accepted: 10.08.2010

Citation: Isaak I. Vainshtein, “The dual problem to M. A. Goldshtik problem with arbitrary vorticity”, J. Sib. Fed. Univ. Math. Phys., 3:4 (2010), 500–506

Citation in format AMSBIB
\Bibitem{Vai10}
\by Isaak~I.~Vainshtein
\paper The dual problem to M.\,A.~Goldshtik problem with arbitrary vorticity
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 4
\pages 500--506
\mathnet{http://mi.mathnet.ru/jsfu148}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Isaak I. Vainshtein, “Reshenie dvukh dualnykh zadach o skleike vikhrevykh i potentsialnykh techenii variatsionnym metodom M. A. Goldshtika”, Zhurn. SFU. Ser. Matem. i fiz., 4:3 (2011), 320–331  mathnet
    2. D. K. Potapov, “O kolichestve reshenii v zadachakh na sobstvennye znacheniya dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(26) (2012), 251–255  mathnet  crossref
    3. Dmitrii K. Potapov, “Zadachi upravleniya dlya uravnenii so spektralnym parametrom i razryvnym operatorom pri nalichii vozmuschenii”, Zhurn. SFU. Ser. Matem. i fiz., 5:2 (2012), 239–245  mathnet
    4. Isaak I. Vainshtein, Irina M. Fedotova, “Dualnaya zadacha k zadache M. A. Goldshtika s neogranichennoi zavikhrennostyu”, Zhurn. SFU. Ser. Matem. i fiz., 5:4 (2012), 515–526  mathnet
    5. D. K. Potapov, “On solutions of the Gol'dshtik problem”, Num. Anal. Appl., 5:4 (2012), 342–347  mathnet  crossref  elib
    		• Журнал Сибирского федерального университета. Серия "Математика и физика"
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