一类非线性耦合对流扩散方程组的临界Fujita曲线  

Critical Fujita Curves for a Class of Nonlinear Coupled Convection-Diffusion Systems

作　　者：郭微[1] 高云柱[1] GUO Wei;GAO Yunzhu(College of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China)

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）》2020年第2期271-276,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“十三五”科学技术研究项目(批准号:JJKH20170024KJ).

摘　　要：用能量估计方法和比较原理建立一类非线性耦合对流扩散方程组的齐次Neumann外区域问题的Fujita型定理,确定刻画解整体是否存在的临界Fujita曲线,并刻画空间维数及方程组中对流项和反应项对解长时间渐近行为的影响。We used the method of energy estimate and the comparison principle to establish the theorem of Fujita type for the homogeneous Neumann exterior region problems for a class of nonlinear coupled convection-diffusion systems.We determined the critical Fujita curves that described whether solutions existed globally or not,and described the influence of the spacial dimension,convection and reaction terms of the systems on the long-term asymptotic behavior of the solution.

关 键 词：临界Fujita曲线 Fujita型定理 能量估计 比较原理 

分 类 号：O175.23[理学—数学]