On Nonlinear Nonlocal Systems of Reaction Diffusion Equations

被引：6

作者：

Ahmad, B. ^{[1
]}

Alhothuali, M. S. ^{[1
]}

Alsulami, H. H. ^{[1
]}

Kirane, M. ^{[2
]}

Timoshin, S. ^{[3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ La Rochelle, Pole Sci & Technol, Lab Math Images & Applicat, F-17031 La Rochelle, France

[3] UCL, Dept Math, London WC1E 6BT, England

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

GLOBAL EXISTENCE; TIME; BOUNDEDNESS;

D O I：

10.1155/2014/804784

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The reaction diffusion system with anomalous diffusion and a balance law u(f) +(-Delta)(alpha/2)u = -f (u, V), V-t +(-Delta)(beta/2) V = f (mu, V), 0 < alpha, beta < 2, is con sidered. The existence of global solutions is proved in two situations: (i) a polynomial growth condition is imposed on the reaction term f when 0 < alpha <= beta <= 2; (ii) no growth condition is imposed on the reaction term f when 0 < beta <= alpha <= 2.

引用

页数：6

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