| 非牛顿多方渗流方程的全局和爆破解 |
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| 引用本文： | 赵伟伟,王建.非牛顿多方渗流方程的全局和爆破解[J].中国海洋大学学报(自然科学版),2011(Z1):439-442. |
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| 作者姓名： | 赵伟伟 王建 |
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| 作者单位： | 中国海洋大学数学科学学院; |
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| 基金项目： | 国家自然科学基金项目(10371050)资助 |
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| 摘 要： | 本文主要研究一个具非局部源和加权非局部边界条件的非牛顿多方渗流方程的正解的全局存在和爆破。首先证明本文的主要工具-弱比较原理,然后通过构造各种上下解来讨论解的行为,并得到了方程解的全局存在和爆破的充分条件。
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| 关 键 词： | 非牛顿多方渗流方程 非局部源 非局部边界条件 全局存在 爆破 |
Global and Blow-up Solutions to a Non-Newtonian Polytropic Filtration Equation with Nonlocal Source and Nonlocal Boundary Condition |
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| ZHAO Wei-Wei,WANG Jian.Global and Blow-up Solutions to a Non-Newtonian Polytropic Filtration Equation with Nonlocal Source and Nonlocal Boundary Condition[J].Periodical of Ocean University of China,2011(Z1):439-442. |
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| Authors: | ZHAO Wei-Wei WANG Jian |
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| Institution: | ZHAO Wei-Wei,WANG Jian(School of Mathematical Science,Ocean University of China,Qingdao 266100,China) |
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| Abstract: | This paper deals with the global existence and blowup of the positive solutions of a non-Newton polytropic filtration equation with nonlocal source subject to weighted nonlocal Dirichlet boundary conditions.First,a weak comparison principle which is the main tool of this paper is proved.Then the behavior of solutions is analysed by constructing various upper and lower solutions.Finally,sufficient conditions on the global existence and blowup of all positive(weak) solutions are obtained. |
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| Keywords: | non-Newton polytropic filtration equation nonlocal source nonlocal boundary condition global blow-up |
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