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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 397, Pages 126–149 (Mi znsl4671)  
This article is cited in 7 scientific papers (total in 7 papers)

On some stationary problems of magnetohydrodynamics in multi-connected domains

Sh. Sakhaeva, V. A. Solonnikovb

a Al-Farabi Kazakh National University, Almaty, Kazakhstan
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (340 kB) Citations (7)
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Abstract: We prove maximal regularity estimates in the Sobolev spaces $W^2_p$ and in the Hölder spaces $C^{2+\alpha}$ for weak solutions of stationary problems of magnetohydrodynamics. We give precise formulation of these problems in multi-connected domains.
Key words and phrases: magnetohydrodynamics, maximal regularity, Sobolev and Hölder spaces.
Received: 19.10.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 5, Pages 728–741
DOI: https://doi.org/10.1007/s10958-012-0956-3
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: Sh. Sakhaev, V. A. Solonnikov, “On some stationary problems of magnetohydrodynamics in multi-connected domains”, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Zap. Nauchn. Sem. POMI, 397, POMI, St. Petersburg, 2011, 126–149; J. Math. Sci. (N. Y.), 185:5 (2012), 728–741
Citation in format AMSBIB
\Bibitem{SakSol11}
\by Sh.~Sakhaev, V.~A.~Solonnikov
\paper On some stationary problems of magnetohydrodynamics in multi-connected domains
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 397
\pages 126--149
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870112}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 5
\pages 728--741
\crossref{https://doi.org/10.1007/s10958-012-0956-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866913281}
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  • https://www.mathnet.ru/eng/znsl/v397/p126
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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