3 papers
math.AP2025
Convergence to the planar interface for a nonlocal free-boundary evolution
Felix Otto, Richard Schubert, Maria G. Westdickenberg
We capture optimal decay for the Mullins-Sekerka evolution, a nonlocal, parabolic free boundary problem from materials science. Our main result establishes convergence of BV soluti…
math.AP2025
Sedimentation of particles with very small inertia I: Convergence to the transport-Stokes equation
Richard M. Höfer, Richard Schubert
We consider the sedimentation of spherical particles with identical radii in a Stokes flow in . The particles satisfy a no-slip boundary condition and are subj…
math.AP2024
Optimal relaxation of bump-like solutions of the one-dimensional Cahn-Hilliard equation
Sarah Biesenbach, Richard Schubert, Maria G. Westdickenberg
REVISED VERSION INCORPORATING THE ERRATUM ON LEMMA 2.1 AND WITH A CORRECTION TO LEMMA 2.8 In this paper we derive optimal relaxation rates for the Cahn-Hilliard equation on the one…