4 papers
Numerical simulation of a fine-tunable Föppl-von Kármán model for foldable and bilayer plates
Sören Bartels, Bernd Schmidt, Philipp Tscherner
A numerical scheme is proposed to identify low energy configurations of a Föppl-von Kármán model for bilayer plates. The dependency of the corresponding elastic energy on the in-pl…
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…
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…
Most likely balls in Banach spaces: existence and non-existence
Bernd Schmidt
We establish a general criterion for the existence of convex sets of fixed shape as, e.g., balls of a given radius, of maximal probability on Banach spaces. We also provide counter…