10 citations · 18 across the 6 of their papers we have counts for
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math.AP2019★ 7 cited
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…
math.AP2019★ 10 cited
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…