Communications in Mathematical Sciences

Volume 5 (2007)

Number 1

Mathematical Analysis of Multi-Scale Models of Complex Fluids

Pages: 1 – 51

(Review Article)



Tiejun Li

Pingwen Zhang


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.


Complex fluids; multiscale models; well-posedness; numerical analysis; Doi-Onsager equation; micro-macro models

2010 Mathematics Subject Classification

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

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