Vg. Danilov et al., JUSTIFICATION OF ASYMPTOTICS OF SOLUTIONS OF THE PHASE-FIELD EQUATIONS AND A MODIFIED STEFAN PROBLEM, Sbornik. Mathematics, 186(11-12), 1995, pp. 1753-1771
A justification is given of the asymptotic solution of phase-field equ
ations, which leads to a modified Stefan problem. Solubility of the mo
dified Stefan problem and of the phase-field equations is established.