3 papers
math.AP2026
Freidlin-Gärtner formula and asymptotic profile in reaction-diffusion equations
Luca Rossi
We address the question of the large-time behavior of solutions to reaction-diffusion equations in periodic media. We start with the description of the asymptotic shape of the inva…
math.AP2026
Reaction-diffusion equations in periodic media: convergence to pulsating fronts
Hongjun Guo, François Hamel, Luca Rossi
This paper is concerned with reaction-diffusion-advection equations in spatially periodic media. Under an assumption of weak stability of the constant states 0 and 1, and of existe…
math.AP2025
Stability of propagating terraces in spatially periodic multistable equations in
Thomas Giletti, Luca Rossi
In this paper, we study the large time behaviour of solutions of multistable reaction-diffusion equations in , with a spatially periodic heterogeneity. By multistable…