Blow-up rate estimate for degenerate parabolic equation with nonlinear gradient term

被引：0

作者：

张正策 ^{[1
]}

王彪 ^{[1
]}

机构：

[1] School of Science, Xi’an Jiaotong University

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2010年 / 31卷 / 06期

基金：

中国国家自然科学基金;

关键词：

degenerate parabolic equation; gradient; blow-up; nonlinear boundary flux;

D O I：

暂无

中图分类号：

O175.26 [抛物型方程];

学科分类号：

摘要：

In this paper, the blow-up rate is obtained for a porous medium equation with a nonlinear gradient term and a nonlinear boundary flux. By using a scaling method and regularity estimates of parabolic equations, the blow-up rate determined by the interaction between the diffusion and the boundary flux is obtained. Compared with previous results, the gradient term, whose exponent does not exceed two, does not affect the blow-up rate of the solutions.

引用

页码：787 / 796

页数：10

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