| Abstract: |
| We consider the Fisher-KPP equation with free boundary conditions and time-periodic advections. We are interested in the long time behavior of the solutions. When the advection is small, we give a vanishing-spreading dichotomy result; when the advection is medium-sized, we show a vanishing-transition-virtual spreading trichotomy result; when advection is large, we prove that vanishing happens for all solutions. Moreover, we give the estimate for the spreading speed of the spreading/virtual spreading solutions. This work is joint with Bendong Lou and Maolin Zhou.
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