| 边界耦合Newton渗流方程组的临界曲线 |
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| 引用本文： | 杜润梅,张玉娟,祝英杰.边界耦合Newton渗流方程组的临界曲线[J].吉林大学学报(理学版),2013,51(2):169-172. |
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| 作者姓名： | 杜润梅 张玉娟 祝英杰 |
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| 作者单位： | 1. 吉林大学 数学研究所, 长春 130012,2. 中国科学院 长春光学精密机械与物理研究所, 长春 130033;3. 长春大学 理学院, ,长春 130022 |
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| 基金项目： | 吉林省教育厅科研项目(批准号:吉教科合字2013[287]);吉林大学研究生创新基金(批准号:20121031) |
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| 摘 要： | 通过构造上下解的方法分析快扩散边界耦合Newton渗流方程组解的长时间行为, 得到了其Fujita型临界曲线和全局临界曲线. 结果表明: 对于很多非线性边界源的Newton渗流方程, Fujita型临界曲线和全局临界曲线不同; 对于本文所考虑的问题, Fujita型临界曲线和全局临界曲线重合.
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| 关 键 词： | 全局存在性 爆破 Newton渗流方程 临界曲线 |
| 收稿时间： | 2012-07-27 |
Critical Curves for Newtonian Filtration SystemCoupled via Boundary Flux |
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| DU Run-mei,ZHANG Yu-juan,ZHU Ying-jie.Critical Curves for Newtonian Filtration SystemCoupled via Boundary Flux[J].Journal of Jilin University: Sci Ed,2013,51(2):169-172. |
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| Authors: | DU Run-mei ZHANG Yu-juan ZHU Ying-jie |
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| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China|2. Changchun Institute of Optics,Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;3. College of Science, Changchun University, Changchun 130022, China |
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| Abstract: | The authors analyzed the large time behavior of solutions to the fast diffusive Newtonian filtration system coupled via the nonlinear boundary sources by the method of constructing various kinds of upper and lower solutions. We got the critical Fujita curve and the critical global existence curve. For many investigated Newtonian filtration equations with nonlinear boundary sources, the critical Fujita curve and the critical global existence curve are usually different. We showed that the critical global existence curve and the critical Fujita curve are superimposed for Newtonian filtration system coupled via boundary flux. |
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| Keywords: | global existence blow up Newtonian filtration equation critical curve |
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