题目：Traveling Fronts and Entire Solutions of the Fisher-KPP Equation in $\mathbb{R}^N$
报告人：王丽娜 博士（华师大PDE中心博士后）
时间：2012年2月28日(周二)下午 13:00-15:00
地点：行政楼12楼偏微分方程中心1202报告厅
摘要：
In this talk, I would like to introduce the main results on entire solutions of the Fisher-KPP equation in $\mathbb{R}^N$, which is written by F. Hamel and N. Nadirashvili and published on "Arch. Rational Mech. Anal" .

$u_t=\Delta u+f(u),$ $0<$$u(x,t)<1,$ $x\in \mathbb{R}^N,$ $t\in \mathbb{R}$

where $f$ is a $C^2$ concave function on $[0,1]$ such that $f(0)=f(1)=0$ and $f>0$ on $(0,1)$.
In this talk, I will introduce the existence of an infinite-dimensional manifold of entire solutions, infinite-dimensional manifolds of non-planar traveling fronts and radial solutions.