Diffusive stability of convective Turing patterns
Dynamical Systems
2025-06-30 v3
Abstract
Following the approach of [E1, M1, M2, S1, S2, SZJV] for reaction diffusion systems, we justify rigorously the Eckhaus stability criterion for stability of convective Turing patterns, as derived formally by complex Ginzburg-Landau approximation [SS, NW, WZ]. Notably, our analysis includes also higher-order, nonlocal, and even certain semilinear hyperbolic systems.
Cite
@article{arxiv.2101.08360,
title = {Diffusive stability of convective Turing patterns},
author = {Aric Wheeler and Kevin Zumbrun},
journal= {arXiv preprint arXiv:2101.08360},
year = {2025}
}