共查询到10条相似文献,搜索用时 234 毫秒
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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. 相似文献
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This paper deals with the critical curve for a nonlinear boundary value problem of a fast diffusive non-Newtonian system. We first obtain the critical global existence curve by constructing the self-similar supersolution and subsolution. And then the critical Fujita curve is conjectured with the aid of some new results. 相似文献
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This paper deals with the critical curve of the non-Newtonian polytropic filtration equation coupled via nonlinear boundary flux. The critical global existence curve is obtained by constructing various self-similar supersolutions and subsolutions. Furthermore, we get some new results on the critical Fujita curve. 相似文献
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This paper is concerned with the critical curves of a degenerate parabolic equation with a source and nonlinear boundary flux. We obtain the critical global existence curve and critical Fujita curve by constructing various self-similar supersolutions and subsolutions. 相似文献
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This article deals with the critical curves for a degenerate parabolic system coupled via nonlinear boundary flux. 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. 相似文献
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Zhongping Li Chunlai Mu Zejian Cui 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2009,60(2):284-298
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.
相似文献
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考虑了一个具有多重非线性的抛物模型中,非线性扩散项、非线性反应项和非线性边界流三种非线性机制之间的相互作用.通过构造自相似上解和自相似下解,获得了临界整体存在性曲线和临界Fujita曲线. 相似文献
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This article deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve and the critical Fujita curve for the problem. Especially for the blow-up case, it is rather technical. It comes from the construction of the so-called Zel’dovich-Kompaneetz-Barenblatt profile. 相似文献