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math.AP2023
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.AP2023
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…