4 papers
Sharp Convergence to the Half-Space for Mullins-Sekerka in the Plane
Wenhui Shi, Maria G. Westdickenberg, Michael Westdickenberg
We revisit the HED Method for the Mullins-Sekerka evolution in the plane. We identify a natural notion of distance, intrinsic to the interface itself. Using this distance, the ener…
Symmetry of constrained minimizers of the Cahn-Hilliard energy on the torus
Michael Gelantalis, Alfred Wagner, Maria G. Westdickenberg
We establish sufficient conditions for a function on the torus to be equal to its Steiner symmetrization and apply the result to volume-constrained minimizers of the Cahn-Hilliard…
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…