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math.AP2024★ 1 cited
A note on the Winterbottom shape
Leonard Kreutz, Bernd Schmidt
In this short note we review results on equilibrium shapes of minimizers to the sessile drop problem. More precisely, we study the Winterbottom problem and prove that the Winterbot…
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…