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math.AP2024
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…
math.AP2018
Nonlinear stability at the Eckhaus boundary
Julien Guillod, Guido Schneider, Peter Wittwer +1
The real Ginzburg-Landau equation possesses a family of spatially periodic equilibria. If the wave number of an equilibrium is strictly below the so called Eckhaus boundary the equ…