A review is presented of recent results on front propagation in reaction-diffusion-advection
equations in homogeneous and heterogeneous media. Formal asymptotic expansions and …

This paper is devoted to the study of pulsating travelling fronts for reaction‐diffusion‐
advection equations in a general class of periodic domains with underlying periodic …

This paper is devoted to some nonlinear propagation phenomena in periodic and more
general domains, for reaction-diffusion equations with Kolmogorov-Petrovsky-Piskunov …

The current paper is devoted to the study of spatial spreading dynamics of monostable
equations with nonlocal dispersal in spatially periodic habitats. In particular, the existence …

This paper is devoted to nonlinear propagation phenomena in general unbounded domains
of $\mathbb {R}^ N $, for reaction-diffusion equations with Kolmogorov-Petrovsky-Piskunov …

We consider traveling waves for a nonlinear diffusion equation with a bistable or multistable
nonlinearity. The goal is to study how a planar traveling front interacts with a compact …

This paper is devoted to the analysis of the large-time behavior of solutions of one-
dimensional Fisher–KPP reaction–diffusion equations. The initial conditions are assumed to …

In the present book the reader will find a review of methods for constructing a certain class of
asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons …

In this paper, we prove various qualitative properties of pulsating traveling fronts in periodic
media, for reaction-diffusion equations with Kolmogorov–Petrovsky–Piskunov type or …

We prove the uniqueness, up to shifts, of pulsating traveling fronts for reaction-diffusion
equations in periodic media with Kolmogorov–Petrovskiĭ–Piskunov type nonlinearities …