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

Year: 2026

Type: preprint

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.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

Authors: Belin, Théo, Schneider, Guido

Institution: University of Stuttgart

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7120607776

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