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Algebra i Analiz, 2014, Volume 26, Issue 6, Pages 172–197 (Mi aa1412)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations

Sh. Sahaev, V. A. Solonnikov

St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
Full-text PDF (283 kB) Citations (2)
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Abstract: The paper is concerned with a linear system of Fredholm–Volterra singular integral equations arising in the study of a linearized initial-boundary value problem of magnetohydrodymnamics for a fluid surrounded by an infinite vacuum region. It is proved that this system is solvable in the class of continuous functions satisfying the Hölder condition with respect to the spatial variables, which yields a classical solution of the problem in question.
Keywords: Fredholm–Volterra singular integral equations, classical solution.
Received: 04.08.2014
English version:
St. Petersburg Mathematical Journal, 2015, Volume 26, Issue 6, Pages 985–1003
DOI: https://doi.org/10.1090/spmj/1371
Bibliographic databases:
Document Type: Article
Language: English
Citation: Sh. Sahaev, V. A. Solonnikov, “On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations”, Algebra i Analiz, 26:6 (2014), 172–197; St. Petersburg Math. J., 26:6 (2015), 985–1003
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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