A singular limit in a fractional reaction-diffusion equation with periodic coefficients

13 Dec 2018 · Léculier Alexis IMT ·

We provide an asymptotic analysis of a non-local Fisher-KPP type equation in periodic media and with a non-local stable operator of order $\alpha$ $\in$ (0, 2). We perform a long time-long range scaling in order to prove that the stable state invades the unstable state with a speed which is exponential in time.