| 一般非线性渗流方程广义解的存在唯一性与Blow-up |
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| 引用本文： | 霍振宏,李海峰. 一般非线性渗流方程广义解的存在唯一性与Blow-up[J]. 数学季刊, 2008, 23(2) |
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| 作者姓名： | 霍振宏 李海峰 |
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| 作者单位： | Department of Mathematics,Zhongyuan Institute of Technology,Zhengzhou 450007,China |
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| 基金项目： | 国家自然科学基金，河南省自然科学基金，National Science Foundation of Department of Education of Henan Province |
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| 摘 要： |
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| 关 键 词： | 一般非线性渗流方程 广义解 唯一性 Blow—up |
Existence,Uniqueness and Blow-up of Generalized Solutions to General Nonlinear Filtration Equations |
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| HUO Zhen-hong,LI Hai-feng. Existence,Uniqueness and Blow-up of Generalized Solutions to General Nonlinear Filtration Equations[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2) |
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| Authors: | HUO Zhen-hong LI Hai-feng |
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| Affiliation: | Department of Mathematics, Zhongyuan Institute of Technology, Zhengzhou 450007, China |
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| Abstract: | In this paper,we consider nonnegative solutions to Cauchy problem for the general nonlinear filtration equations ut-Dj(aij(x,t,u)Diφ(u))+bi(t,u)Diu+C(x,t,u)=0,and obtain the existence,uniqueness and blow-up in finite time of these solutions under some structure conditions. |
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| Keywords: | nonlinear filtration equation Cauchy problem generalized solution existence uniqueness blow-up |
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