A~weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan--Gibbs--Thomson problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 49-66
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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.
@article{FPM_2006_12_6_a3,
author = {V. G. Danilov and V. Yu. Rudnev},
title = {A~weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the {Stefan--Gibbs--Thomson} problem},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {49--66},
publisher = {mathdoc},
volume = {12},
number = {6},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a3/}
}
TY - JOUR AU - V. G. Danilov AU - V. Yu. Rudnev TI - A~weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan--Gibbs--Thomson problem JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2006 SP - 49 EP - 66 VL - 12 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a3/ LA - ru ID - FPM_2006_12_6_a3 ER -
%0 Journal Article %A V. G. Danilov %A V. Yu. Rudnev %T A~weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan--Gibbs--Thomson problem %J Fundamentalʹnaâ i prikladnaâ matematika %D 2006 %P 49-66 %V 12 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a3/ %G ru %F FPM_2006_12_6_a3
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. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 49-66. http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a3/