题目:Starting-point Entropy and Shigesada–Kawasaki–Teramoto Model

报告人: 陈秀卿 教授 中山大学珠海校区  

摘要

The existence of global weak solutions to the cross-diffusion model of Shigesada, Kawasaki, and Teramoto for an arbitrary number of species is proved. The model consists of strongly coupled parabolic equations for the population densities in a bounded domain with no-flux boundary conditions, and it describes the dynamics of the segregation of the population species. The diffusion matrix is neither symmetric nor positive semidefinite. A new logarithmic entropy allows for an improved condition on the coefficients of heavily nonsymmetric diffusion matrices, without imposing the detailed-balance condition that is often assumed in the literature. Furthermore, the large-time convergence of the solutions to the constant steady state is proved by using the relative entropy associated to the logarithmic entropy.

时 间：2024年1月3日（周三）下午 4:40-5:40 

地 点：校本部教二楼 613教室 

联系人: 吴雅萍