11 citations · 98 across the 23 of their papers we have counts for
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Metastable dynamics for a hyperbolic variant of the mass conserving Allen-Cahn equation in one space dimension
Raffaele Folino
In this paper, we consider some hyperbolic variants of the mass conserving Allen-Cahn equation, which is a nonlocal reaction-diffusion equation, introduced (as a simpler alternativ…
Exponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity
Raffaele Folino, César Hernández Melo, Luis López Ríos +1
This paper considers a one-dimensional generalized Allen-Cahn equation of the form \[ u_t = \varepsilon^2 (D(u)u_x)_x - f(u), \] where is constant, is a po…
Metastable patterns for a reaction-diffusion model with mean curvature-type diffusion
Raffaele Folino, Ramón G. Plaza, Marta Strani
Reaction-diffusion equations are widely used to describe a variety of phenomena such as pattern formation and front propagation in biological, chemical and physical systems. In the…
On the speed rate of convergence of solutions to conservation laws with nonlinear diffusions
Raffaele Folino, Marta Strani
In this paper we analyze the long-time behavior of solutions to conservation laws with nonlinear diffusion terms of different types: saturating dissipation (monotone and non monoto…