Applied Math And Analysis Seminar
Monday, February 13, 2012, 4:30pm, 119 Physics
Xiuqing Chen (Beijing University of Posts & Telecommunications; Duke Physics)
Global weak solution for kinetic models of active swimming and passive suspensions
Abstract:- We investigate two kinetic models for active suspensions of
rod-like and ellipsoidal particles, and passive suspensions of dumbbell
beads dimmers, which couple a Fokker-Planck equation to the incompressible
Navier-Stokes or Stokes equation. By applying cut-off techniques in the
approximate problems and using compactness argument, we prove the existence
of the global weak solutions with finite (relative) entropy for the two and
three dimensional models. For the second model, we establish a new compact
embedding theorem of weighted spaces which is the key in the compactness
argument. (Joint work with Jian-Guo Liu) [video]
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