ON CLASSICAL SOLVABILITY OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR CONVECTIVE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID
Boris Vasil'evich Bazalii, Sergey Petrovich Degtyarev · Mathematics of the USSR-Sbornik · 1988
The Stefan problem for a quasilinear parabolic equation is considered. Convective motions in the fluid phase are described by the Navier-Stokes system. The existence of a smooth solution locally in time is proved.Bibliography: 15 titles.