一个连铸Stefan问题的解对初边界条件的连续依赖性

The Continuous Dependence to Data of Solutionof a Continuous Casting Stefan Problem

考虑了一个具有内部物质对流和非线性边界热交换的多维连铸Stefan问题,并得到了这个问题解对初边界条件的连续依赖性。改进和推广了J.F.Rodri-gues&F.Yi的结果,放宽了他们对内部流和边界条件的一些不太符合实际的限制。

A multiple dimensional continuous casting Stefan problem with internal convection of a material and nonlinear boundary heat exchange is considered. The continuous dependence to Initial boundary condition of solution of this problem are obtained. Improves and extends the results of J. F. Rodri-gues ＆ F.Yi , relaxes restrictions that does not be to accord with reality very much on flux and boundary conditions in their articles.