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. |
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