此演講取消，謝謝！！

醉月湖講座Lakeside Lecture Series

演講者：Professor Peter Bates(Michigan State University)
講 題：Global Invariant Manifolds and Eternal Spike States
時 間：2013年4月8日 (星期一) 14:00~15:00
地 點：臺灣大學天文數學館202室
茶 點：13:30~14:00
摘 要：
Singularly perturbed elliptic equations often give rise to solutions that are almost constant except for one or more localized large amplitude excursions, so-called spike layers.  Here we consider the corresponding parabolic equations and show the existence of moving spike layer solutions – existing and retain that shape for all negative as well as positive time.  In fact, the resulting dynamics is a rather nice purely geometric flow, which itself is of independent interest.
 
This PDE to ODE reduction result is made possible by first proving and abstract theorem on the existence of a normally hyperbolic invariant manifold for a semiflow in Banach space when one only has an approximation of such.  This abstract result is applicable in a wide variety of settings and the ideas behind its proof will comprise approximately half of this talk.  The results represent joint work with Kening Lu and Chongchun Zeng.

主辦人：Yi-Chiuan Chen, Kin-Ming Hui, Jenn-Nan Wang, Jeremy Wong