具有内部物质流的Stefan问题解的唯一性

Uniqueness of solution of a Stefan problem with internal convection

考虑了一个具有内部物质流与边界热交换的Stefan问题,得到了这个问题整体弱解的唯一性和对已知资料的连续依赖性．本项工作推广了易法槐与SHIH的结果,取消了他们文献中加在内部物质流和边界条件上的一些不太符合实际的限制．

A Stefan problem with internal convection of a material and nonlinear boundary heat exchange is considered. The uniqueness and continuous dependence on the data of globally weak solution are obtained to this problem. This paper extends the results of Yi Fa-hual and Shih T M, eliminates the restrictions that are not in accord with the reality on internal convection and boundary conditions in their articles.