90 citations · 237 across the 30 of their papers we have counts for
34 papers · 1 filter
Spreading, flattening and logarithmic lag for reaction-diffusion equations in R^N: old and new results
François Hamel, Luca Rossi
This paper is concerned with the large-time dynamics of bounded solutions of reaction-diffusion equations with bounded or unbounded initial support in R N. We start with a survey o…
Spreading sets and one-dimensional symmetry for reaction-diffusion equations
François Hamel, Luca Rossi
We consider reaction-diffusion equations in the whole space and we are interested in the large-time dynamics of solutions ranging in the interv…
Asymptotic one-dimensional symmetry for the Fisher-KPP equation
François Hamel, Luca Rossi
Let be a solution of the Fisher-KPP equation We address the following question: does become locally planar as $t\to…
Invariant cones for linear elliptic systems with gradient coupling
I. Capuzzo Dolcetta, L. Rossi, A. Vitolo
We discuss counterexamples to the validity of the weak Maximum Principle for linear elliptic systems with zero and first order couplings and prove, through a suitable reduction to…
Spreading speeds and spreading sets of reaction-diffusion equations
François Hamel, Luca Rossi
This paper deals with the large time dynamics of bounded solutions of reaction-diffusion equations with unbounded initial support in . We prove a variational formula…
Traveling waves for a nonlocal KPP equation and mean-field game models of knowledge diffusion
Alessio Porretta, Luca Rossi
We analyze a mean-field game model proposed by economists R.E. Lucas and B. Moll (2014) to describe economic systems where production is based on knowledge growth and diffusion. Th…