非线性反应扩散问题的激波解(英文)  

SHOCK WAVE SOLUTION FOR THE NONLINEAR REACTION DIFFUSION PROBLEMS

作　　者：陈丽华[1] 姚静荪[2] 温朝晖[3] 莫嘉琪[2,4] 

机构地区：[1]福建师范大学福清分校数学与计算机科学系,福建福清350300 [2]安徽师范大学数学系,安徽芜湖241003 [3]安徽财经大学统计与应用数学学院,安徽蚌埠233030 [4]湖州师范学院理学院,浙江湖州313000

出　　处：《数学杂志》2013年第3期381-387,共7页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(40876010);the"Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues"of the Chinese Academy of Sciences(XDA01020304);the Natural Science Foundation of Jiangsu Province(BK2011042);the Natural Science Foundation of Zhejiang Province(Y6110502);the Foundation of theEducation Department of Fujian Province of China(JA10288);the Natural Science Foundation from the Education Bureau of Anhui Province(KJ2011A135;KJ2011Z003)

摘　　要：本文研究了一类非线性反应扩散问题.利用微分不等式理论,得到了具有激波层的问题解的渐近表示式.In this paper, a class of nonlinear reaction diffusion problem is considered. Using the theory of differential inequality, the approximate expression of the solution with shock wave layer is obtained.

关 键 词：非线性 反应扩散 激波 微分不等式 

分 类 号：O175.29[理学—数学]