报告人：郭上江教授，中国地质大学（武汉）

题目：Oscillatory and stationary patterns in a diffusive model with delay effect

摘要：In this talk a reaction-diffusion model with delay effect and Dirichlet boundary condition is considered. Firstly, the existence, multiplicity, and patterns of spatially nonhomogeneous steady-state solution are obtained by using the Lyapunov-Schmidt reduction. Secondly, by means of the space decomposition, we subtly discuss the distribution of eigenvalues of the infinitesimal generator associated with the linearized system at a spatially nonhomogeneous synchronous steady-state solution, and then we derive some sufficient conditions to ensure that the nontrivial synchronous steady-state solution is asymptotically stable. By using the symmetric bifurcation theory of differential equations coupled with representation theory of standard dihedral groups, we not only investigate the effect of time delay on the pattern formation, but also obtain some important results about the spontaneous bifurcation of multiple branches of nonlinear wave solutions and their spatio-temporal patterns.

时间：2021年5月11日19:30-21:30

地点：腾讯会议，会议ID：771 526 315

https://meeting.tencent.com/s/LVspkS9qdG6r