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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 425, Pages 149–178 (Mi znsl6026)  
This article is cited in 4 scientific papers (total in 4 papers)

Free boundary problem of magnetohydrodynamics

E. V. Frolovaab

a St. Petersburg State University, Russia
b St. Petersburg State Electrotechnical University, Prof. Popova 5, 191126 St. Petersburg
Full-text PDF (288 kB) Citations (4)
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Abstract: We consider a free boundary problem governing the motion of a finite isolated mass of a viscous incompressible electrically conducting fluid in vacuum. Media is moving under the action of magnetic field and volume forces. We prove solvability of this free boundary problem in an infinite time interval under the additional smallness assumptions imposed on initial data and the external forces.
Key words and phrases: magnetohydrodynamics, solvability on an infinite time interval, free boundary problems.
Received: 18.06.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 210, Issue 6, Pages 857–877
DOI: https://doi.org/10.1007/s10958-015-2596-x
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: E. V. Frolova, “Free boundary problem of magnetohydrodynamics”, Boundary-value problems of mathematical physics and related problems of function theory. Part 44, Zap. Nauchn. Sem. POMI, 425, POMI, St. Petersburg, 2014, 149–178; J. Math. Sci. (N. Y.), 210:6 (2015), 857–877
Citation in format AMSBIB
\Bibitem{Fro14}
\by E.~V.~Frolova
\paper Free boundary problem of magnetohydrodynamics
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~44
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 425
\pages 149--178
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6026}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 210
\issue 6
\pages 857--877
\crossref{https://doi.org/10.1007/s10958-015-2596-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944704633}
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  • https://www.mathnet.ru/eng/znsl/v425/p149
    • This publication is cited in the following 4 articles:
    1. Shibata Y., Zajaczkowski W.M., “On Local Solutions to a Free Boundary Problem For Incompressible Viscous Magnetohydrodynamics in the l-P-Approach”, Diss. Math., 2021  crossref  mathscinet  isi
    2. Kenta Oishi, Yoshihiro Shibata, “Local Well-Posedness for Free Boundary Problem of Viscous Incompressible Magnetohydrodynamics”, Mathematics, 9:5 (2021), 461  crossref
    3. P. Kacprzyk, W. M. Zajaczkowski, “On the Faedo-Galerkin method for a free boundary problem for incompressible viscous magnetohydrodynamics”, Topol. Methods Nonlinear Anal., 52:1 (2018), 69–98  crossref  mathscinet  isi  scopus
    4. St. Petersburg Math. J., 27:3 (2016), 523–546  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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