报告题目：Long-time Dynamics of the Fisher-KPP Nonlocal Diffusion Equation with Free Boundary

主 讲 人：杜 一 宏

单 位：澳大利亚新英格兰大学

时 间：3月11日9:00

腾 讯 ID：314 181 749

密 码：123456

摘 要：

Propagation has been modelled by reaction-diffusion equations since the pioneering works of Fisher and Kolmogorov-Peterovski-Piskunov (KPP). Much new developments have been achieved in the past a few decades on the modelling of propagation, with traveling wave and related solutions playing a central role. In this talk, I will report some recent results obtained with several collaborators on the Fisher-KPP equation with free boundary and "nonlocal diffusion". A key feature of this nonlocal equation is that the propagation may or may not be determined by traveling wave solutions. There is a threshold condition on the kernel function which determines whether the propagation has a finite speed or infinite speed (known as accelerated spreading). For some typical kernel functions, we obtain sharp estimates of the spreading speed (whether finite or infinite).

简 介：

杜一宏教授，1988年在山东大学数学系获得博士学位，并留校工作；1990年赴英国Heriot-Watt大学访问，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。多次赴中国、美国、英国、德国、法国、西班牙，日本，加拿大等国家和地区的高校或科研机构访问。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120余篇（他引1700余次），并出版专著2部。自2003年持续获得澳大利亚国家自然科学基金的资助，自2013年任澳大利亚国家自然科学基金委评审专家。目前，担任多个国际期刊杂志的编委及20余个国际期刊杂志的特约审稿人。