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Mathematical analysis of multi-scale models of complex fluids. (English) Zbl 1129.76006

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

MSC:

76A05 Non-Newtonian fluids
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
82D60 Statistical mechanics of polymers
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