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Sbornik: Mathematics, 1995, Volume 186, Issue 12, Pages 1753–1771
DOI: https://doi.org/10.1070/SM1995v186n12ABEH000092 (Mi sm92) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem

V. G. Danilova, G. A. Omel'yanova, E. V. Radkevichb

a Moscow State Institute of Electronics and Mathematics (Technical University)
b M. V. Lomonosov Moscow State University
English version PDF (713 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM1995v186n12ABEH000092
Abstract: A justification is given of the asymptotic solution of phase-field equations, which lead to a modified Stefan problem. Solubility of the modified Stefan problem and of the phase-field equations is established.
Received: 27.07.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 12, Pages 63–80
Bibliographic databases:
UDC: 517.95
MSC: 35B25, 35C20, 35K55
Language: English
Original paper language: Russian
Citation: V. G. Danilov, G. A. Omel'yanov, E. V. Radkevich, “Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem”, Mat. Sb., 186:12 (1995), 63–80; Sb. Math., 186:12 (1995), 1753–1771
Citation in format AMSBIB
\Bibitem{DanOmeRad95}
\by V.~G.~Danilov, G.~A.~Omel'yanov, E.~V.~Radkevich
\paper Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 12
\pages 63--80
\mathnet{http://mi.mathnet.ru/sm92}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1376092}
\zmath{https://zbmath.org/?q=an:0870.35127}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 12
\pages 1753--1771
\crossref{https://doi.org/10.1070/SM1995v186n12ABEH000092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995UL00600010}
Linking options:
  • https://www.mathnet.ru/eng/sm92
  • https://doi.org/10.1070/SM1995v186n12ABEH000092
  • https://www.mathnet.ru/eng/sm/v186/i12/p63
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:165
    English version PDF:18
    References:71
    First page:1
     
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