会议主题：bb视讯数学系学术报告
会议 ID：411 361 699(腾讯会议)
会议时间：2020/8/26 09:30-13:30
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https://meeting.tencent.com/s/kRzWdSF7k0vb
(一)．报告人：陈停停 博士 中国地质大学
题目：Global well-posedness for the Chaplygin gas dynamics with local L^ 1 initial data
摘要：The Chaplygin gas dynamic system is a canonical 2×2 system with linearly
degenerate fields. The solution of Riemann problem shows the inequivalence of the system in Eulerian and Lagrangian coordinates. This system is singular as the density vanishes. We remove
restriction on the initial density that is uniform positive lower bound. Then we prove the existence, uniqueness and regularity of the Cauchy problem in Eulerian coordinates. The assumptions we proposed on the initial data are sufficient and necessary for the equivalence of the system in these two coordinates.This work presented is a joint with Aifang Qu and Zhen Wang.
(二). 报告人：王佳兵 副教授 中国地质大学
题目：Nonlocal Dispersal Equations with Shifting Habitats
摘要：Climate changes caused by global warming, industrialization and overdevelopment have led to the shifting of habitats for biological species and seriously threatened and destroyed the ecological environment and biological diversity. In this talk, I will discuss the impacts of the shifting habitats on the propagation dynamics of various species which adopt long-distance diffusion strategy modeled by a Fisher-KPP equation and a Lotka-Volterra competition system with nonlocal dispersal. This talk is based on joint works with Profs. Wan-Tong Li (Lanzhou U.), Chufen Wu (Foshan U.) and Xiao-Qiang Zhao (Memorial U. of Newfoundland).
