5 citations · 5 across the 1 of their papers we have counts for
4 papers
Optimal -type relaxation rates for the Cahn-Hilliard equation on the line
Felix Otto, Sebastian Scholtes, Maria G. Westdickenberg
In this paper we derive optimal algebraic-in-time relaxation rates to the kink for the Cahn-Hilliard equation on the line. We assume that the initial data have a finite distance---…
Metastability of the Cahn-Hilliard equation in one space dimension
Sebastian Scholtes, Maria G. Westdickenberg
We establish metastability of the one-dimensional Cahn-Hilliard equation for initial data that is order-one in energy and order-one in away from a point on the so-ca…
Discrete knot energies
Sebastian Scholtes
The present chapter gives an overview on results for discrete knot energies. These discrete energies are designed to make swift numerical computations and thus open the field to co…
On hypersurfaces of positive reach, alternating Steiner formulae and Hadwiger's Problem
Sebastian Scholtes
We give new characterisations of sets of positive reach and show that a closed hypersurface has positive reach if and only if it is of class . These results are then used…