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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…