一类具有衰减介质孔隙率的非牛顿渗流方程 Cauchy 问题解的渐近行为

Abstract

Abstract:

This paper is concerned with the asymptotic behavior of solutions for the Cauchy problem of a non-Newtonian filtration equation with decaying volumetric moisture content. When the volumetric moisture content is given different decaying behaviors at infinity, we establish some new results of global existence and finite time blow-up by virtue of comparison principle and constructing appropriate Barenblatt-type super- and sub-solutions.

Key words: non-Newtonian filtration equation, volumetric moisture content, decay rate, global existence, blow-up.

CLC Number:

O175.23

Wentao Huo, Zhongbo Fang. Asymptotic Behavior of Solutions for Cauchy Problem of a Non-Newtonian Filtration Equation with Decaying Volumetric Moisture Content[J].Acta mathematica scientia,Series A, 2026, 46(3): 1160-1182.

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Asymptotic Behavior of Solutions for Cauchy Problem of a Non-Newtonian Filtration Equation with Decaying Volumetric Moisture Content

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