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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 385, Pages 135–186 (Mi znsl3903)  

This article is cited in 30 scientific papers (total in 30 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
References:
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl3903
  • https://www.mathnet.ru/eng/znsl/v385/p135
  • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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