4.6 Article

Sedimentation of Inertialess Particles in Stokes Flows

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COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 360, 期 1, 页码 55-101

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SPRINGER
DOI: 10.1007/s00220-018-3131-y

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  1. Bonn International Graduate School of Mathematics at the Hausdorff Center for Mathematics
  2. University of Bonn through the German Science Foundation (DFG) [CRC 1060]

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We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles in the case of a dilute system in which interactions between particles are still important. In the relevant time scale, we rigorously prove convergence of the dynamics to the solution of a macroscopic equation. This macroscopic equation resembles the Stokes equations for a fluid of variable density subject to gravitation.

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