2014/11/21 by Francois Hamel, Luca Rossi, Hamel, Francois +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP
paper · pdf · doi:10.48550/arxiv.1411.5808
arxiv created 2014/11/21 · arxiv updated 2014/11/24
We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPP type, depending on time t and admitting two limits as t→±∞. We derive the set of admissible asymptotic past and future speeds of transition fronts for such equation. We further show that any transition front which is non-critical as t→-∞ always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the non-critical fronts as t→±∞.