一个具有内部物质对流的两项连铸Stefan问题  

A two-phase continuous casting Stefan problem with internal convection of a material

作　　者：徐龙封[1] 罗冬梅[1] 

机构地区：[1]安徽工业大学数理学院,马鞍山243002

出　　处：《数学理论与应用》2008年第1期5-11,共7页Mathematical Theory and Applications

基　　金：国家自然科学基金资助项目(50409017);安徽省高校青年教师科研基金项目(2007ip1025)

摘　　要：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,并得到了这个问题整体弱解的存在性、唯一性和对初边界条件的连续依赖性。本项工作改进和推广了J.F.Fodri-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 existence, uniqueness and dependence to Initial boundary condition of globally weak solution of this problem are obtained. This work 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.

关 键 词：连铸Stefan问题 非线性流 自由边界 闸函数 

分 类 号：O175[理学—数学]