38 citations · 168 across the 29 of their papers we have counts for
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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…
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…
Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity
Jaime Angulo Pava, César A. Hernández Melo, Ramón G. Plaza
In this paper, a nonlinear Schrödinger equation with an attractive (focusing) delta potential and a repulsive (defocusing) double power nonlinearity in one spatial dimension is con…
On the role of cancer cells' diffusion in the tumor growth paradox
Isai Padilla, Ramón G. Plaza
In this contribution, the non-local, integro-partial differential system of equations proposed by Hillen et al. (Bull. Math. Biol. 75, 2013, no.1, 161-184) to account for the the t…