报告题目：Precise propagation dynamics of the nonlocal KPP free boundary problem with nonsymmetric kernels

报告摘要：Sharp estimates of the spreading rates for the nonlocal KPP free boundary problem with symmetric kernels have been established by Du and Ni (Math Ann 2024, JEMS 2025). In this talk we report some recent progresses on the precise propagation profile of this model with nonsymmetric kernels, where significant differences arise. These include sharp conditions governing linear spreading (spreading with finite speed) and accelerated spreading (spreading with infinite speed), and precise rates of spreading. This talk is based on joint works with Dr Xiangdong Fang and Wenjie Ni.

报告人简介：Dr Yihong Du is a professor at the University of New England, Australia. He was elected a Fellow of the Australian Academy of Science in 2021 and awarded an Australian Laureate Fellowship by the Australian Research Council in 2024.He is interested in mathematical problems arising from applications in other sciences, such as biology, invasion ecology and chemical reaction theory. Some of his recent works investigate mathematical models for propagation, such as spreading of diseases, or invasion of exotic species, which involve nonlinear elliptic and parabolic equations, often with a free boundary to represent the propagation front.

Prof Du obtained a Doctor of Science degree in 1988 from Shandong University, China. After spending two years at Shandong University as a Lecturer (1988-90), and one year at Heriot-Watt University (UK) as a visiting fellow (1990-91), he joined University of New England in Australia in 1991, initially as a postdoctoral fellow, and became a professor in 2008.

报告时间：2025年10月21日上午10：30-11:30

报告地点：同析4栋412室