| 一个具有内部物质对流的两项连铸Stefan问题 |
| |
| 引用本文： | 徐龙封,罗冬梅. 一个具有内部物质对流的两项连铸Stefan问题[J]. 数学理论与应用, 2008, 28(1): 5-11 |
| |
| 作者姓名： | 徐龙封 罗冬梅 |
| |
| 作者单位： | 安徽工业大学数理学院,马鞍山243002 |
| |
| 基金项目： | 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。
|
| 关 键 词： | 连铸Stefan问题 非线性流 自由边界 闸函数 |
A two-phase continuous casting Stefan problem with internal convection of a material |
| |
| Xu Longfeng Luo Dongmei. A two-phase continuous casting Stefan problem with internal convection of a material[J]. Mathematical Theory and Applications, 2008, 28(1): 5-11 |
| |
| Authors: | Xu Longfeng Luo Dongmei |
| |
| Affiliation: | Xu Longfeng Luo Dongmei ( Dept. of Math. and Phys., Anhui University of Technology, Maanshan,243002) |
| |
| Abstract: | 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. |
| |
| Keywords: | continuous casting Stefan problem nonlinear flux free boundary barrier funciton |
| 本文献已被 维普 等数据库收录！ |
