2 citations · 2 across the 8 of their papers we have counts for
9 papers
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…
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…
ODD-Centric Contextual Sensitivity Analysis Applied To A Non-Linear Vehicle Dynamics Model
Richard Schubert, Marcus Nolte, Arnaud de La Fortelle +1
Advanced driving functions, for assistance or full automation, require strong guarantees to be deployed. This means that such functions may not be available all the time, like now…
Non-existence of mean-field models for particle orientations in suspensions
Richard M. Höfer, Amina Mecherbet, Richard Schubert
We consider a suspension of spherical inertialess particles in a Stokes flow on the torus . The particles perturb a linear extensional flow due to their rigidity const…
A data-driven approach to viscous fluid mechanics -- the stationary case
Christina Lienstromberg, Stefan Schiffer, Richard Schubert
We introduce a data-driven approach to the modelling and analysis of viscous fluid mechanics. Instead of including constitutive laws for the fluid's viscosity in the mathematical m…
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…