报告题目:Propagation and reaction-diffusion equations with free boundary
报 告 人:Yihong Du院士
工作单位:澳大利亚新英格兰大学
报告时间:2022-09-24. 15:00-17:50
腾讯会议ID:959-770-911
报告摘要:
In this talk I will discuss some of the mathematical theories on reaction-diffusion equations arising from the desire to better understand the propagation phenomena. The talk will start with a brief review of classical works of Fisher, Kolmogorov-Petrovsky-Piskunov and Aronson-Weinberger, and then focus on recent results on free boundary models with local as well as nonlocal diffusion, which are variations of the reaction-diffusion models in the classical works.
报告人简介:
杜一宏教授,澳大利亚科学院院士,1988年获得博士学位,1991年至今在澳大利亚新英格兰大学工作,现为该校数学系教授。杜一宏教授是非线性泛函分析、偏微分方程及其应用等领域的国际知名专家,是使用非线性自由边界问题对扩散现象进行建模的先驱,解决了长期存在的尖锐阈值,边界爆破,分岔和多解个数问题。在Arch. Rational Mech. Anal., SIAM J. Math. Anal., J. Funct. Anal., J. European Math. Soc., Trans. Amer. Math. Soc., J. Differ. Equations, Calc. Var. Partial Differ. Equ., J. Math. Pures Appl. 等国际知名期刊上发表论文150余篇(被引4000余次),并出版专著1部。自2003年持续获得澳大利亚国家自然科学基金的资助。目前,担任多个国际期刊杂志的编委。