Global existence and blow-up problems for reaction diffusion model with multiple nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:343

Article

Ding, Juntang¹  Gao, Xuyan¹  Li, Shengjia¹ 

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

关键词: reaction diffusion;    multiple nonlinearities;    blow-up solutions;    global solutions;   

DOI  :  10.1016/j.jmaa.2008.01.038

来源: Elsevier

【 摘 要 】

In this paper, we study the following reaction diffusion model, [GRAPHICS] where D is a bounded domain in RN with smooth boundary partial derivative D, N >=, 2. This paper deals with interactions among three kinds of nonlinear mechanisms: nonlinear reaction, nonlinear convection and nonlinear boundary flux. The existence theorems of blow-up positive solutions, upper bound of blow-up time, upper estimates of blow-up rate, existence theorems of global positive solutions, and upper estimates of global positive solutions are given under suitable assumptions on a, b, c, f, g, h, r and initial data u(0)(x). (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free