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Critical curves for fast diffusive polytropic filtration equations coupled through boundary |
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| Authors: | Zhongping Li Zejian Cui Chunlai Mu |
| Affiliation: | 1. College of Mathematics and Information , China West Normal University , Nanchong, P.R. China zhongping-li@sohu.com;3. College of Mathematics and Information , China West Normal University , Nanchong, P.R. China;4. College of Mathematics and Physics , Chongqing University , Chongqing, P.R. China |
| Abstract: | 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. |
| Keywords: | critical curve fast diffusion polytropic filtration equation global existence blow-up |