3 papers
math.AP2025
Stability of stationary reaction diffusion-degenerate Nagumo fronts I: spectral analysis
Raffaele Folino, César A. Hernández Melo, Luis F. López Ríos +1
This paper establishes the spectral stability of monotone, stationary front solutions for reaction-diffusion equations where the reaction function is of Nagumo (or bistable) type a…
math.AP2025
Stability properties of solutions to convection-reaction equations with nonlinear diffusion
Alessandro Alla, Alessandra De Luca, Raffaele Folino +1
In this paper we study a convection-reaction-diffusion equation of the form \begin{equation*} u_t=\varepsilon(h(u)u_x)_x-f(u)_x+f'(u), \quad t>0, \end{equation*} with a nonlinear d…
math.AP2025
Layer dynamics for the Allen-Cahn equation with nonlinear phase-dependent diffusion
José Alejandro Butanda Mejía, Daniel Castañon Quiroz, Raffaele Folino +1
The goal of this paper is to describe the metastable dynamics of the solutions to the reaction-diffusion equation with nonlinear phase-dependent diffusion $u_t=\varepsilon^2(D(u)u_…