一类在自由边界上给出动力学条件的一相stefan问题

A KIND OF STEFAN PROBLEM WITH A KINETIC CONDITION AT THE FREE BOUNDARY

考虑一类在自由边界上给出动力学条件的一相stefan问题:其中α,α,β>0. 本文证明了在一定条件下,其经典解存在、唯一。

We con sider a kind of Stelan problem with a kinetic condition at the free boun-dary:where a, α, β>0.In this paper, we prove the existence and uniqueness of the classical solution to this problem under some conditions.