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

Xiuqing Chen Beijing University of Posts and Telecommunications Xiaolong Li Beijing University of Posts and Telecommunications Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03033

Communications in Mathematical Sciences, 12, (8), 1579–1601, 2014.1
ABSTRACT 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.
Stokes equation, Fokker-Planck equation, global weak solution, uniqueness
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@inproceedings{xiuqing2014existence,
  title={Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles},
  author={Xiuqing Chen, Xiaolong Li, and Jian-Guo Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208093431947749306},
  booktitle={Communications in Mathematical Sciences},
  volume={12},
  number={8},
  pages={1579–1601},
  year={2014},
}
Xiuqing Chen, Xiaolong Li, and Jian-Guo Liu. Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles. 2014. Vol. 12. In Communications in Mathematical Sciences. pp.1579–1601. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208093431947749306.
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