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Critical curves for fast diffusive polytropic filtration equations coupled through boundary

Zhongping LiCollege of Mathematics and Information , China West Normal University , Nanchong, P.R. ChinaZejian CuiCollege of Mathematics and Information , China West Normal University , Nanchong, P.R. ChinaChunlai MuCollege of Mathematics and Physics , Chongqing University , Chongqing, P.R. China
2008en
ABI

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This article deals with the critical curve of a fast diffusive polytropic filtration system coupled at the boundary condition. By constructing the self-similar supersolution and subsolution, 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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