摘要
本文介绍几类不同区域上的反应扩散问题,这些问题描述了种群的空间扩张现象。对比经典的Cauchy问题,本文给出固定区域、演化区域和自由边界上的扩散问题,根据相应问题的理论结果,分析不同区域上扩散的区别和联系。
Reaction-diffusion problems in several different types of domains are investigated in this paper,which describes spatial expansion of population.Compared with the classical Cauchy problem,diffusion problems are presented in fixed domains,evolving domains and free boundaries.According to the theoretical results of the corresponding problems,the differences and connections of diffusion in different domains are analyzed.
作者
张梦芸
葛静
林支桂
ZHANG Mengyun;GE Jing;LIN Zhigui(School of Applied Mathematics,Nanjing University of Finance Economics,Nanjing Jiangsu 210003,China;School of Mathematics and Statistics,Huaiyin Normal University,Huaian Jiangsu 223300,China;School of Mathematical Science,Yangzhou University,Yangzhou Jiangsu 225002,China)
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2023年第1期17-23,共7页
Journal of Guangxi Normal University:Natural Science Edition
基金
国家自然科学基金(12271470,11701206,12101301,11911540464)。
关键词
反应扩散
自由边界
演化区域
扩张和灭绝
reaction-diffusion
free boundary
evolving domain
expansion and extinction
