Diffusive Stability of Convective Turing Patterns

Following the approach of Eckhaus, Mielke, and Schneider 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. Notably, our analysis includes higher-order, nonlocal, and even certain semilinear hyperbolic systems.

Authors

Publication Details

Journal
Mathematical Models and Methods in Applied Sciences
Published
2026-03-13
DOI
https://doi.org/10.1142/s0218202526500247
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
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article

Diffusive Stability of Convective Turing Patterns

Aric Wheeler, Kevin Zumbrun
Mathematical Models and Methods in Applied Sciences
Nonlinear Dynamics and Pattern Formation
article

Diffusive Stability of Convective Turing Patterns

Aric Wheeler, Kevin Zumbrun
article en

Abstract

Following the approach of Eckhaus, Mielke, and Schneider 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. Notably, our analysis includes higher-order, nonlocal, and even certain semilinear hyperbolic systems.

Mathematical Models and Methods in Applied Sciences
Climate action
Openalex Percentile: Top 27%
Nonlinear Dynamics and Pattern Formation
DOISourceOpenAlex
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