Mathematical Analysis of Multi-Scale Models of Complex Fluids

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.

Keywords

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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Published 1 January 2007