海底冻土的自由边界问题

A free boundary problem on subsea permafrost

用Schauder估计和不动点定理讨论了以海底冻土为背景的自由边界问题,在一定条件下,得出了该 自由边界问题在一维情况下经典解的全局存在唯一性.

Using Schauder fixed point principle we study a free boundary problem arising from subsea permafrost. We obtain the existence and uniqueness of the classical solution of Swift-Harrison model under one dimension.