Communications in Mathematical Sciences
Volume 5 (2007)
Mathematical Analysis of Multi-Scale Models of Complex Fluids
Pages: 1 – 51
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