38 citations · 168 across the 29 of their papers we have counts for
5 papers · 2 filters
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…
Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type
Ramón G. Plaza, Fabio Vallejo
This paper studies the uniform and weak Lopatinski\uı conditions associated to classical (Lax) shock fronts of arbitrary amplitude for compressible hyperelastic materials of Hadama…
Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws
Enrique Alvarez, Ramon G. Plaza
This paper studies both existence and spectral stability properties of bounded spatially periodic traveling wave solutions to a large class of scalar viscous balance laws in one sp…
Unstable kink-soliton profiles for the sine-Gordon equation on a -junction graph with -interaction
Jaime Angulo Pava, Ramón G. Plaza
The aim of this work is to establish a linear instability result of stationary, kink and kink/anti-kink soliton profile solutions for the sine-Gordon equation on a metric graph wit…
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'…