1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2022★ 1 cited
Orbital instability of periodic waves for scalar viscous balance laws
Enrique Álvarez, Jaime Angulo Pava, Ramón G. Plaza
The purpose of this paper is to prove that, for a large class of nonlinear evolution equations known as scalar viscous balance laws, the spectral (linear) instability condition of…
math.AP2021
Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source
Enrique Álvarez, Ricardo Murillo, Ramón G. Plaza
A hyperbolic model for diffusion, nonlinear transport (or advection) and production of a scalar quantity, is considered. The model is based on a constitutive law of Cattaneo-Maxwel…
math.AP2020
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…