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math.AP2025
Stability of stationary reaction diffusion-degenerate Nagumo fronts I: spectral analysis
Raffaele Folino, César A. Hernández Melo, Luis F. López RÃos +1
This paper establishes the spectral stability of monotone, stationary front solutions for reaction-diffusion equations where the reaction function is of Nagumo (or bistable) type a…
math.AP2024
Orbital instability of periodic waves for generalized Korteweg-de Vries-Burgers equations with a source
Anna Naumkina, Ramón G. Plaza
A family of generalized Korteweg-de Vries-Burgers equations in one space dimension with a nonlinear source is considered. The purpose of this contribution is twofold. On one hand,…
math.AP2024
Instability of periodic waves for the Korteweg-de Vries-Burgers equation with monostable source
Raffaele Folino, Anna Naumkina, Ramón G. Plaza
In this paper, it is proved that the KdV-Burgers equation with a monostable source term of Fisher-KPP type has small-amplitude periodic traveling wave solutions with finite fundame…