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math.DS2024
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…
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…