4 papers · 1 filter
Sharp dimension threshold for unique FKPP steady states and BBM recurrence
Luca Rossi, Oliver Tough
We consider the existence and uniqueness of positive, bounded stationary solutions of the Fisher-KPP equation with Dirichlet boundary conditions. We establish that stationary solut…
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…
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…
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…