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March 2007 Mathematical Analysis of Multi-Scale Models of Complex Fluids
Tiejun Li, Pingwen Zhang
Commun. Math. Sci. 5(1): 1-51 (March 2007).


The state of the art of the mathematical and numerical analysis of multi-scale models of complex fluids is reviewed. Issues addressed include well-posedness of the models, convergence analysis of the numerical methods, and the structure of stationary solutions of the Doi-Onsager equation.


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Tiejun Li. Pingwen Zhang. "Mathematical Analysis of Multi-Scale Models of Complex Fluids." Commun. Math. Sci. 5 (1) 1 - 51, March 2007.


Published: March 2007
First available in Project Euclid: 5 April 2007

zbMATH: 1129.76006
MathSciNet: MR2310632

Primary: 37N10 , 60H35 , 65C30 , 76M35 , 82D60

Keywords: Complex fluids , Doi-Onsager equation , micro-macro models , multiscale models , numerical analysis , well-posedness

Rights: Copyright © 2007 International Press of Boston

Vol.5 • No. 1 • March 2007
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