Convective Turing Bifurcation
Dynamical Systems
2025-07-01 v2
Abstract
Following the approach pioneered by Eckhaus, Mielke, Schneider, and others for reaction diffusion systems [E, M1, M2, S1, S2, SZJV], we systematically derive formally by multiscale expansion and justify rigorously by Lyapunov-Schmidt reduction amplitude equations describing Turing-type bifurcations of general reaction diffusion convection systems. Notably, our analysis includes also higher-order, nonlocal, and even certain semilinear hyperbolic systems.
Cite
@article{arxiv.2101.07239,
title = {Convective Turing Bifurcation},
author = {Aric Wheeler and Kevin Zumbrun},
journal= {arXiv preprint arXiv:2101.07239},
year = {2025}
}