指数型的非线性反应扩散方程的整体存在性分析  

Global Existence Analysis for Reaction-diffusion Model with Exponent Types of Nonlinearities

作　　者：贠书杰[1] 陈静[1] 

机构地区：[1]河南机电高等专科学校,河南新乡453002

出　　处：《河南机电高等专科学校学报》2008年第6期43-44,共2页Journal of Henan Mechanical and Electrical Engineering College

摘　　要：主要研究了具有指数型的多重非线性项的抛物方程组的初边值问题.方程组中的非线性项是这些非线性项组合出源-流交叉耦合,通过比较原理得到了方程组的上下解,并得到了解整体存在的临界指标。This paper deals with initial -boundary problems for parabolic systems with multiple nonlinear terms of exponent types i. e. The growth of the solutions come from both the sources and the boundary flux. By using the comparison principle, the blow -up criteria are established under different couplings with nonlinear terms of exponent types.

关 键 词：非线性反应扩散方程 整体解 有限时刻爆破 比较原理 上下解 

分 类 号：O175[理学—数学]