Qualitative properties of pushed fronts of reaction-diffusion-advection equations


Abstract in English

In this paper, we prove some qualitative properties of pushed fronts for the periodic reaction-diffusion-equation with general monostable nonlinearities. Especially, we prove the exponential behavior of pushed fronts when they are approaching their unstable state which has been left open so far. Through this property, we also prove the stability of pushed fronts.

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