应兰州大学数学与统计学院王宾国教授和张亮教授的邀请,华南师范大学余虓副教授将于2025年11月26日-28日访问兰州大学,期间于11月26日举办线上专题学术报告。
报告题目:Asymptotic spreading of KPP reactive fronts in heterogeneous shifting environments
时 间:11月26日下午2:30.
地 点:榆中校区天山堂B407; 腾讯会议(238-367-266)
报告摘要:In this talk, we discuss the spreading dynamics of the FKPP equation in a shifting habitat, by characterizing the limit of the rate function of the solution. For the habitat with a weak monotone condition, it was demonstrated before that the rate function converges to the unique viscosity solution of the underlying Hamilton-Jacobi equations. In case the habitat does not satisfy the weak monotone condition, we show that the rate function is then determined by the Hamilton-Jacobi equation with a dynamic junction condition, which depends additionally on the principal eigenvalue derived from the environmental function. This approach also applies to the case when the habitat has multiple shifting speeds, and clarifies the transition between nonlocally pulled fronts and forced traveling waves.
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报告人简介
余虓,华南师范大学副教授,博士毕业于加拿大纽芬兰纪念大学,先后在美国迈阿密大学、加拿大瑞尔森大学和约克大学从事博士后研究。主要从事扩散系统的传播动力学研究,相关成果在JDE、JFA、JMPA、MA等杂志发表,主持国家自然科学基金青年和面上项目各1项。
甘肃应用数学中心
数学与统计学院
萃英学院
2025年11月25日