Special Session 117: 

Asymptotic Behavior of Solutions of Free Boundary Problems for Fisher-KPP Equation

Jingjing Cai
Shanghai University of Electric Power
Peoples Rep of China
Co-Author(s):    Hong, Gu
Abstract:
We study a free boundary problem for Fisher-KPP equation: $u_t=u_{xx}+f(u)$ ($g(t)< x < h(t)$) with free boundary conditions $h'(t)=-u_x(t,h(t))-\alpha$ and $g'(t)=-u_x(t,g(t))+\beta$ for $0< \beta < \alpha$. This problem can model the spreading of a biological or chemical species. We investigate the affects of $\alpha$ and $\beta$ on the asymptotic behavior of bounded solutions.