3 papers
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.FA2024
Quantitative estimates of maximal regularity for nonautonomous operators and global existence for quasilinear equations
Théo Belin, Pauline Lafitte
In this work, we obtain quantitative estimates of the continuity constant for the maximal regularity of relatively continuous nonautonomous operators $\mathbb{A} : I \longrig…