10 citations · 39 across the 19 of their papers we have counts for
22 papers
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…
Layered patterns in reaction-diffusion models with Perona-Malik diffusions
Alessandra De Luca, Raffaele Folino, Marta Strani
In this paper we deal with a reaction-diffusion equation in a bounded interval of the real line with a nonlinear diffusion of Perona-Malik's type and a balanced bistable reaction t…
On a generalized Cahn-Hilliard model with p-Laplacian
Raffaele Folino, Luis Fernando Lopez Rios, Marta Strani
A generalized Cahn-Hilliard model in a bounded interval of the real line with no-flux boundary conditions is considered. The label "generalized" refers to the fact that we consider…
Dispersive regularization for phase transitions
Federico Cacciafesta, Marta Strani, Benjamin Texier
We introduce a dispersive regularization of the compressible Euler equations in Lagrangian coordinates, in the one-dimensional torus. We assume a Van der Waals pressure law, which…
Long time dynamics of solutions to -Laplacian diffusion problems with bistable reaction terms
Raffaele Folino, Ramón G. Plaza, Marta Strani
This paper establishes the emergence of slowly moving transition layer solutions for the -Laplacian (nonlinear) evolution equation, \[ u_t = \varepsilon^p(|u_x|^{p-2}u_x)_x - F'…
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…