Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries

Hong Gu, Bendong Lou, Maolin Zhou

We consider Fisher-KPP equation with advection: $u_t=u_{xx}-\beta u_x+f(u)$ for $x\in (g(t),h(t))$, where $g(t)$ and $h(t)$ are two free boundaries satisfying Stefan conditions. This eq…