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.
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”, Sb. Math., 186:12 (1995), 1753–1771
\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 Sb. Math.
\yr 1995
\vol 186
\issue 12
\pages 1753--1771
\mathnet{http://mi.mathnet.ru/eng/sm92}
\crossref{https://doi.org/10.1070/SM1995v186n12ABEH000092}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1376092}
\zmath{https://zbmath.org/?q=an:0870.35127}
\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:
V. G. Danilov, R. K. Gaydukov, “Ice-Water Phase Transition on a Substrate”, Russ. J. Math. Phys., 30:2 (2023), 165
Vladimir Danilov, Roman Gaydukov, Vadim Kretov, Heat and Mass Transfer, Mathematical Modeling of Emission in Small-Size Cathode, 2020, 59
K. A. Volosov, “A Property of the Ansatz of Hirota's Method for Quasilinear Parabolic Equations”, Math. Notes, 71:3 (2002), 339–354
G. A. Omel'yanov, V. V. Trushkov, “Dynamics of a free boundary in a binary medium with variable thermal conductivity”, Math. Notes, 66:2 (1999), 181–189
Danilov V. Omel'yanov G. Radkevich E., “Hugoniot-Type Conditions and Weak Solutions to the Phase-Field System”, Eur. J. Appl. Math., 10:Part 1 (1999), 55–77
Omel'yanov G., Danilov V., Radkevich E., “Asymptotic Solution of the Conserved Phase Field System in the Fast Relaxation Case”, Eur. J. Appl. Math., 9:Part 1 (1998), 1–21
Danilov V., Omel'yanov G., Radkevich E., “Weak Solutions to the Phase Field System”, Integral Transform. Spec. Funct., 6:1-4 (1998), 27–35
Citation in format AMSBIB
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