10 citations · 18 across the 6 of their papers we have counts for
7 papers
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…
Variational formulation for fractional hyperbolic problems in the theory of viscoelasticity
Luis Fernando López Ríos, Julián Bravo-Castillero
In this article a theoretical framework for problems involving fractional equations of hyperbolic type arising in the theory of viscoelasticity is presented. Based on the Galerkin…
Long-time behavior of solutions to the generalized Allen-Cahn model with degenerate diffusivity
Raffaele Folino, Luis F. López Ríos, Ramón G. Plaza
The generalized Allen-Cahn equation, \[ u_t=\varepsilon^2(D(u)u_x)_x-\frac{\varepsilon^2}2D'(u)u_x^2-F'(u), \] with nonlinear diffusion, , and potential, , of t…
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…
Spectral stability of monotone traveling fronts for reaction diffusion-degenerate Nagumo equations
J. Francisco Leyva, Luis F. López Ríos, Ramón G. Plaza
This paper establishes the spectral stability of monotone traveling front solutions for reaction-diffusion equations where the reaction function is of Nagumo (or bistable) type and…
Entire nodal solutions to the pure critical exponent problem for the -Laplacian
Mónica Clapp, Luis Lopez Rios
We establish the existence of multiple sign-changing solutions to the quasilinear critical problem for , whe…
Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations
J. Francisco Leyva, Ramon G. Plaza
This paper establishes the spectral stability in exponentially weighted spaces of smooth traveling monotone fronts for reaction diffusion equations of Fisher-KPP type with nonlinea…