具奇异系数的耦合反应-对流-扩散方程组的临界Fujita曲线  

Critical Fujita Curves for a Coupled Reaction-Convection-Diffusion System with Singular Coefficients

作　　者：郭微[1] 雷鸣[1] 

机构地区：[1]北华大学数学与统计学院,吉林吉林132013

出　　处：《吉林大学学报（理学版）》2016年第2期183-188,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金数学天元基金(批准号:10926169);吉林省教育厅科学技术研究项目(批准号:2015133)

摘　　要：利用能量比较和构造自相似上解的方法研究具奇异系数的耦合反应-对流-扩散方程组的齐次Neumann外问题,确定了刻画解是否整体存在的临界Fujita曲线,并建立了Fujita型爆破定理.该临界Fujita曲线依赖于方程组的空间维数、对流项和反应项.Using the comparison of energy and constructing selfsimilar supersolutions,the author studied the homogeneous Neumann exterior problem of a coupled reaction-convection-diffusion system with singular coefficients. The critical Fujita curve,which described whether solutions exist globally or not,was determined and the blowing up theorem of Fujita type was established. This critical Fujita curve depends on the spacial dimension,convection and reaction terms of the system.

关 键 词：反应-对流-扩散方程组 奇异性 临界Fujita曲线 

分 类 号：O175.23[理学—数学]