Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions

被引：6

作者：

Rasheed, Maan A. ^{[1
]}

机构：

[1] Mustansiriyah Univ, Dept Math, Coll Basic Educ, Baghdad, Iraq

来源：

BAGHDAD SCIENCE JOURNAL | 2021年 / 18卷 / 02期

关键词：

Blow-up rate estimate; Blow-up set; Comparison principle; Radial function; Reaction-Diffusion equation; NONLOCAL TRANSFORMATIONS; HEAT-EQUATION;

D O I：

10.21123/bsj.2021.18.2.0315

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the lower and upper blow-up rate estimates are derived. Moreover, the blow-up set under some restricted assumptions is studied.

引用

页码：315 / 321

页数：7

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