FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 6, PAGES 49-66

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. Danilov
V. Yu. Rudnev

Abstract

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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.

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Last modified: February 26, 2007