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., 2006, Volume 12, Issue 6,Pages <nobr>49

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^a, V. Yu. Rudnev^b

^a Moscow Technical University of Communications and Informatics
^b Moscow State Institute of Electronics and Mathematics (Technical University)

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.

UDC: 517.9