1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
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_τ \mathcal U + \mathcal A(\partial_ξ) \mathcal U + \frac{1}{\varepsilon} \mathcal E \mathcal U = \mathcal T_{2}( \mathcal U , \mathcal U…
NLS approximation for a scalar FPUT system on a 2D square lattice with a cubic nonlinearity
Ioannis Giannoulis, Bernd Schmidt, Guido Schneider
We consider a scalar Fermi-Pasta-Ulam-Tsingou (FPUT) system on a square 2D lattice with a cubic nonlinearity. For such systems the NLS equation can be derived to describe the evolu…
Global existence for long wave Hopf unstable spatially extended systems with a conservation law
Nicole Gauss, Anna Logioti, Guido Schneider +1
We are interested in reaction-diffusion systems, with a conservation law, exhibiting a Hopf bifurcation at the spatial wave number . With the help of a multiple scaling pert…