Margarita Arias (Université de Granada, Espagne) lundi 1er décembre , 16h30 "Fastness and continuous dependence in front propagation in Fisher-KPP equations." Summary: ======= In this talk I will deal with the continuous dependence of the minimal speed of propagation and the profile of the corresponding travelling wave solution of Fisher-type reaction-diffusion equations $$ v_t=(D(v)v_x)_x + f(v) $$ with respect to both the reaction term $f$ and the diffusivity $D$. A key factor is the continuous dependence on $f$ of the minimal speed of propagation in the case of constant diffusivity. Its proof is based on variational methods. Fast heteroclinic solutions allow us to interpret the appearance of sharp heteroclinic in the case of degenerate diffusivity ($D(0)=0$).