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 …

If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

This paper is devoted to the study of traveling waves for monotone evolution systems of
bistable type. In an abstract setting, we establish the existence of traveling waves for discrete …

In this paper we present a new definition for the global in time propagation (motion) of fronts
(hypersurfaces, boundaries) with a prescribed normal velocity, past the first time they …

We consider the reaction-diffusion equation\[T_t= T_ {xx}+ f (T)\] on ${\mathbb {R}} $ with $
T_0 (x)\equiv\chi _ {[-L, L]}(x) $ and $ f (0)= f (1)= 0$. In 1964 Kanel $^{\prime} $ proved that …

The current series of two papers is concerned with traveling wave solutions of time almost
periodic nonlinear evolution equations. In the first of the series, we introduce a definition of …

This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or
interfaces in random media) to senior undergraduates and beginning grad uate students …

Does a high dispersal rate provide a competitive advantage when risking competitive
exclusion? To this day, the theoretical literature cannot answer this question in full …

This paper deals with front propagation for discrete periodic monostable equations. We
show that there is a minimal wave speed such that a pulsating traveling front solution exists …