3 papers
math.AP2025
Derivation of the Monokinetic Vlasov-Stokes equations
Richard M. Höfer, A. Mecherbet, R. Schubert
We consider a microscopic model of spherical particles with inertia in a Stokes flow. As the particle number grows to infinity and their size goes to zero we derive the monokinetic…
math.AP2025
Propagation of chaos for first-order mean-field systems with non-attractive moderately singular interaction
Richard M. Höfer, Richard Schubert
We consider particle systems that evolve by inertialess binary interaction through general non-attractive kernels of singularity with . We prove a quantitative me…
math.AP2023
Sedimentation of particles with very small inertia II: Derivation, Cauchy problem and hydrodynamic limit of the Vlasov-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…