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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 385, Pages 135–186 (Mi znsl3903)  
This article is cited in 31 scientific papers (total in 31 papers)

On the free boundary problem of magnetohydrodynamics

M. Padulaa, V. A. Solonnikovb

a Dipartimento di Matematica, Universitá di Ferrara, Ferrara, Italia
b Санкт-Петербургское отделение Математического института им. В. А. Стеклова РАН, Санкт-Петербург, Россия
Full-text PDF (431 kB) Citations (31)
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Abstract: The paper proves the solvability of a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid in a simply connected domain. The solution is obtained in Sobolev–Slobodetskii spaces $W^{2+l,1+l/2}_2$, $1/2<l<1$. Bibl. 15 titles.
Key words and phrases: free boundary problems, magnetohydrodinamics, Sobolev spaces.
Received: 09.11.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 3, Pages 313–344
DOI: https://doi.org/10.1007/s10958-011-0550-0
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: M. Padula, V. A. Solonnikov, “On the free boundary problem of magnetohydrodynamics”, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Zap. Nauchn. Sem. POMI, 385, POMI, St. Petersburg, 2010, 135–186; J. Math. Sci. (N. Y.), 178:3 (2011), 313–344
Citation in format AMSBIB
\Bibitem{PadSol10}
\by M.~Padula, V.~A.~Solonnikov
\paper On the free boundary problem of magnetohydrodynamics
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 385
\pages 135--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3903}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 3
\pages 313--344
\crossref{https://doi.org/10.1007/s10958-011-0550-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053512789}
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  • https://www.mathnet.ru/eng/znsl/v385/p135
    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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