Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux

被引:0
作者
Zhongping Li
Chunlai Mu
Zejian Cui
机构
[1] China West Normal University,Department of Mathematics
[2] Chongqing University,College of mathematics and physics
来源
Zeitschrift für angewandte Mathematik und Physik | 2009年 / 60卷
关键词
35K50; 35K55; 35K65; 35B33; Critical curves; fast diffusion equations; blow-up; nonlinear boundary flux;
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学科分类号
摘要
This paper deals with the critical curves of the fast diffusive polytropic filtration equations coupled via nonlinear boundary flux. By constructing self-similar super and sub solutions we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results.
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页码:284 / 298
页数:14
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