Showing math.APShow all
2 papers · 1 filter
math.AP2024
Phase sinks and sources around two-dimensional periodic-wave solutions of reaction-diffusion-advection systems
Benjamin Melinand, L. Miguel Rodrigues
We develop a complete stability theory for two-dimensional periodic traveling waves of reaction-diffusion systems. More precisely, we identify a diffusive spectral stability assump…
math.AP2023
Rigid Lid limit in shallow water over a flat bottom
Benjamin Melinand
We perform the so-called rigid lid limit on different shallow water models such as the abcd Bousssinesq systems or the Green-Naghdi equations. To do so we consider an appropriate n…