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