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Analysis of kinetic model for sedimentation of colloidalrods
CHEN Xiuqing 1 *,LI Xiaolong 1,LIU Jianguo 2
1.School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876
2.Department of Physics and Department of Mathematics, Duke University, Durham, NC 27708 USA
*Correspondence author
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Funding: National Science Foundation of China （No.grant 11101049）, the Research Fund for the Doctoral Program of Higher Education of China（No.grant 20090005120009）, National Science Foundation (NSF) of the USA（No.grant DMS 10-11738）
Opened online:26 February 2013
Accepted by: none
Citation: CHEN Xiuqing,LI Xiaolong,LIU Jianguo.Analysis of kinetic model for sedimentation of colloidalrods[OL]. [26 February 2013] http://en.paper.edu.cn/en_releasepaper/content/4521534
 
 
We investigate akinetic model for the sedimentation of colloidalrods, deduced by Helzel, Otto andTzavaras (2011), which couples the impressible (Navier-)Stokesequation with the Fokker-Planck equation. With no-flux boundarycondition for distribution function, we establish the existence anduniqueness of global weak solution to the two dimensional modelinvolving Stokes equation.
Keywords:Stokes equation; Fokker-Planck equation; global weak solution; uniqueness
 
 
 

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