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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 6, Pages 49–66 (Mi fpm989)  
A weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan–Gibbs–Thomson problem

V. G. Danilova, V. Yu. Rudnevb

a Moscow Technical University of Communications and Informatics
b Moscow State Institute of Electronics and Mathematics (Technical University)
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Abstract: We analyze the confluence of free boundaries for binary mixtures in the Stefan–Gibbs–Thomson problem. Using the method of weak asymptotics, we obtain a global-time formula for a weak asymptotic solution of the phase-field system in this case.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 1, Pages 2664–2676
DOI: https://doi.org/10.1007/s10948-008-0164-z
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. G. Danilov, V. Yu. Rudnev, “A weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan–Gibbs–Thomson problem”, Fundam. Prikl. Mat., 12:6 (2006), 49–66; J. Math. Sci., 151:1 (2008), 2664–2676
Citation in format AMSBIB
\Bibitem{DanRud06}
\by V.~G.~Danilov, V.~Yu.~Rudnev
\paper A~weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan--Gibbs--Thomson problem
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 6
\pages 49--66
\mathnet{http://mi.mathnet.ru/fpm989}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314131}
\zmath{https://zbmath.org/?q=an:1151.35431}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 151
\issue 1
\pages 2664--2676
\crossref{https://doi.org/10.1007/s10948-008-0164-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449160259}
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    		Фундаментальная и прикладная математика
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