| 摘要: |
| 本文研究了由边界条件耦合的多维牛顿渗流方程组解的长时间行为.利用构造的多种上下解，得到了整体存在临界曲线与Fujita临界曲线. |
| 关键词: 整体存在 爆破 牛顿渗流方程 临界曲线 |
| DOI： |
| 分类号:O175.26 |
| 基金项目:Supported by National Natural Science Foundation of China (11361029), Jiangxi Province Planning Project of Science and Technology (GJJ14270) and National Natural Science Foundation of Jiangxi Province (20142BAB211001). |
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| GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR NEWTONIAN FLLTRATION EQUATIONS COUPLED WITH BOUNDARY CONDITIONS |
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WANG Ze-jia, ZHOU Hai-hua, XU Jian-lei, WEN Kai
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College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China
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| Abstract: |
| In this paper, we deal with the large time behavior of solutions to the multidimensional Newtonian filtration equations coupled via the nonlinear boundary conditions. By constructing various kinds of upper and lower solutions, we obtain the critical global existence curve and the critical Fujita curve. |
| Key words: global existence blow up Newtonian filtration equation critical curves |
