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…