| STEFAN PROBLEM WITH NONLINEAR BOUNDARY FLUX AND INTERNAL CONVECTION OF A MATERIAL |
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| 作者姓名： | Xu Longfeng |
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| 作者单位： | School of Math，and Phys.，Anhui University of Technology，Maanshan 243002 |
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| 基金项目： | Supported by National Natural Science Foundation of China (90410011)
the Natural Science Foundation of the Education Department of Anhui Province (2005KJ316ZC). |
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| 摘 要： | A Stefan problem with nonlinear boundary flux and internal convection of a material are considered. The existence, uniqueness and continuous dependence of globally weak solution of this problem are obtained. This paper extends the results of Fahuai Yi and T.M.Shih, relaxes restrictions that does not be to accord with reality very much on internal convection and boundary conditions in their articles.
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| 关 键 词： | Stefan问题 非线性边界通量 内部对流 障碍函数 |
STEFAN PROBLEM WITH NONLINEAR BOUNDARY FLUX AND INTERNAL CONVECTION OF A MATERIAL |
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| Xu Longfeng.STEFAN PROBLEM WITH NONLINEAR BOUNDARY FLUX AND INTERNAL CONVECTION OF A MATERIAL[J].微分方程年刊(英文版),2006,22(2):192-203. |
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| Authors: | Xu Longfeng |
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| Institution: | School of Math. and Phys., Anhui University of Technology, Maanshan 243002 |
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| Abstract: | A Stefan problem with nonlinear boundary flux and internal convection of a material are considered. The existence, uniqueness and continuous dependence of globally weak solution of this problem are obtained. This paper extends the results of Fahuai Yi and T.M.Shih, relaxes restrictions that does not be to accord with reality very much on internal convection and boundary conditions in their articles. |
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| Keywords: | Stefan problem nonlinear boundary flux internal convection barrier function |
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