Blow-up analyses in reaction-diffusion equations with nonlinear nonlocal boundary flux

被引：2

作者：

Liu, Bingchen ^{[1
]}

Lin, Hongyan ^{[1
]}

Li, Fengjie ^{[1
]}

Wang, Xiangyu ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 04期

关键词：

Reaction-diffusion equations; Nonlinear nonlocal boundary flux; Non-simultaneous blow-up; Blow-up rate; Blow-up time; SYSTEM;

D O I：

10.1007/s00033-019-1155-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a reaction-diffusion system involving coupled sources and nonlinear nonlocal boundary flux. By using the comparison principle, we give the criteria on blow-up and global solutions. There exist no nontrivial global solutions under some conditions on the coefficients. After classifying simultaneous and non-simultaneous blow-up of the components of solutions, we obtain blow-up rates and sets. Lower and upper bounds of blow-up time are determined quantificationally for all dimensions of the space domains.

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页数：27

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