Global existence and blow-up analysis for a nonlinear diffusion equation with inner absorption and boundary flux

Zhongping Li; Chunlai Mu

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Global existence and blow-up analysis for a nonlinear diffusion equation with inner absorption and boundary flux

机译：具有内部吸收和边界通量的非线性扩散方程的整体存在和爆破分析

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This article deals with a nonlinear diffusion equation with inner absorption u_1 = (log~σ(1 +u)u_x)_x-λ(1 +u)log~p(1 +u), in R_+ ×(0, +∞), subject to a logarithmic boundary flux - log~σ(1+u)u_x(0,t) = (1+u)lg"(1+ u)(0,t), t ∈(0,+∞). We establish the critical global existence curve and give the asymptotic behaviour close to the blow-up time.

机译：本文处理的非线性扩散方程的内部吸收u_1 =（log〜σ（1 + u）u_x）_x-λ（1 + u）log〜p（1 + u），R_ +×（0，+∞ ），服从对数边界通量-log〜σ（1 + u）u_x（0，t）=（1 + u）lg“（1+ u）（0，t），t∈（0，+∞）我们建立了临界全局存在曲线，并给出了接近爆炸时间的渐近行为。

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来源
《Dynamical Systems》 |2011年第2期|p.147-159|共13页
作者
Zhongping Li; Chunlai Mu;
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作者单位

College of Mathematics and Statistics, Chongqing University, Chongqing 400044, P.R. China,College of Mathematics and Information, China West Normal University, Nanchong 637002,PR. China;

College of Mathematics and Statistics, Chongqing University, Chongqing 400044, P.R. China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类
关键词
global existence; blow-up; asymptotic behaviour; inner absorption; boundary flux;

机译：全球存在;爆炸;渐近行为内在吸收边界通量;

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Global existence and blow-up analysis for a nonlinear diffusion equation with inner absorption and boundary flux

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