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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.AP2025
Some remarks about an effective description of high-frequency wave-packet propagation
Anna Logioti, Xin Meng, Guido Schneider
We consider systems of the form $ \partial_Ï \mathcal U + \mathcal A(\partial_ξ) \mathcal U + \frac{1}{\varepsilon} \mathcal E \mathcal U = \mathcal T_{2}( \mathcal U , \mathcal…