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.
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.
作者
王泽佳
周海花
徐剑磊
温凯
WANG Ze-jia ZHOU Hai-hua XU Jian-lei WEN Kai(College of Mathematics and Information Science, Jiangxi Nor~rnal University, Nanchang 330022, Chin)
出处
《数学杂志》
北大核心
2017年第1期11-20,共10页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(11361029)
Jiangxi Province Planning Project of Science and Technology(GJJ14270)
National Natural Science Foundation of Jiangxi Province(20142BAB211001)
关键词
整体存在
爆破
牛顿渗流方程
临界曲线
global existence
blow up
Newtonian filtration equation
critical curves
