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math.AP2026
A Ginzburg-Landau approximation theorem for quasilinear pattern-forming systems in uniformly local Sobolev spaces
Théo Belin, Guido Schneider
We prove that the Ginzburg-Landau equation correctly predicts the dynamics of quasilinear or fully nonlinear pattern-forming systems close to the first instability. We present an a…
math.AP2026
On the Ginzburg-Landau approximation for quasilinear pattern forming reaction-diffusion-advection systems
Théo Belin, Guido Schneider
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 p…
math.PR2026
Validity of the stochastic Ginzburg-Landau approximation in higher space dimensions -A Wiener algebra approach-
Anna Logioti, Guido Schneider
We consider an anisotropic -dimensional Swift-Hohenberg model -close to the first instability, where is a small perturbat…