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., 1995, Volume 186, Number 12,Pages <nobr>63

This article is cited in 7 papers

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

V. G. Danilov^a, G. A. Omel'yanov^a, E. V. Radkevich^b

^a Moscow State Institute of Electronics and Mathematics (Technical University)
^b M. V. Lomonosov Moscow State University

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.

UDC: 517.95

MSC: 35B25, 35C20, 35K55

Received: 27.07.1994