On the Ginzburg-Landau approximation for quasilinear pattern forming reaction-diffusion-advection systems

HAL (Le Centre pour la Communication Scientifique Directe) 2026 Preprint Open access

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Authors: Théo Belin, Guido Schneider
Cited by: 0

Abstract

We prove that the Ginzburg-Landau equation correctly predicts the dynamics of quasilinear pattern-forming reaction-diffusion-advection systems, close to the first instability. We present a simple theorem which is easily applicable for such systems. The theorem is applied to the Gray-Scott-Klausmeier vegetation-water interaction model.

Fields of Study & Subjects

Nonlinear Dynamics and Pattern Formation Ecosystem dynamics and resilience Mathematical and Theoretical Epidemiology and Ecology Models

Publication details

Journal / source
HAL (Le Centre pour la Communication Scientifique Directe)
Publication date
7 January 2026
Language
EN
Document type
Preprint