关于举行偏微分方程系列在线学术报告会的通知

报告题目1：Nonlinear Instability of Non-isentropic Fluid Flows   

报  告  人：秦绪龙 副教授(中山大学)

报告时间：2021年7月10日（星期六）下午 14:30-15:15  

报告题目2: Nonlocal Stefan problem

报 告 人: 李 芳 副教授(中山大学）

报告时间:  2021年7月10日(星期六) 下午15:15-16:00

报告地点：腾讯会议号:240 166 030  无密码 

邀请人(组委会)：尹景学教授、季善明副教授、徐田媛博士

欢迎广大师生前往！

数学学院

2021年07月08日

报告摘要1：Nonlinear dynamic instability of steady smooth problem is rigorously demonstrated

for non-isentropic, compressible inviscid fluid flows when the convection is present.

报告摘要2： Nonlocal diffusion is introduced to describe the movement or interaction of some organisms between non-adjacent spatial locations. In this talk, we study the nonlocal version of the classical Stefan problem. We first demonstrate the wellposedness and the convergence between nonlocal Stefan problem and classical Stefan problem. Next, we construct some examples to demonstrate some new phenomena due to the appearance of  nonlocal diffusion, like the discontinuous movement of population  range. At the end, the spreading/vanishing phenomena is discussed when reaction term is introduced. This is joint work with Xinfu Chen and Maolin Zhou.