应数学系王明新教授的邀请,首都师范大学吴雅萍教授于近日来访。期间做学术演讲,欢迎感兴趣的师生参加。
时间:2018年7月16日下午 3:30-4:30
地点:格物楼503
题目:退化Fisher方程柱形域波的空间衰减率和稳定性
摘要:In this talk we shall talk about our recent works on the spatial decay and stability of higher dimensional traveling fronts for the degenerate Fisher equation with heterogeneous convection in cylinder. By applying the generalized center manifold theorem and asymptotic expansion, we get the precise non-exponential spatial decay and the higher order expansion of cylinder fronts with noncritical speeds. By applying spectral analysis and sub-supper solution method we also prove the exponential stability and Lyapunov stability of the cylinder fronts in some exponentially and polynomially weighted spaces. We shall also talk about the asymptotic behavior and asymptotic spreading speed of solutions with more general initial data decaying non-exponentially. The talk is based on the joint work with Dr. Junfeng He.
吴雅萍教授网页:http://math.cnu.edu.cn/szdw/qtjs/122250.htm