Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles


Journal Article

We investigate a kinetic model for the sedimentation of dilute suspensions of rod-like particles under gravity, deduced by Helzel, Otto, and Tzavaras (2011), which couples the impressible (Navier-)Stokes equation with the Fokker-Planck equation. With a no-flux boundary condition for the distribution function, we establish the existence and uniqueness of a global weak solution to the two dimensional model involving the Stokes equation. © 2014.

Full Text

Duke Authors

Cited Authors

  • Chen, X; Li, X; Liu, JG

Published Date

  • January 1, 2014

Published In

Volume / Issue

  • 12 / 8

Start / End Page

  • 1579 - 1601

Electronic International Standard Serial Number (EISSN)

  • 1945-0796

International Standard Serial Number (ISSN)

  • 1539-6746

Digital Object Identifier (DOI)

  • 10.4310/CMS.2014.v12.n8.a10

Citation Source

  • Scopus