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Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics

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Abstract

This paper is an introduction to the modelling of viscoelastic fluids, with an emphasis on micromacro (or multiscale) models. Some elements of mathematical and numerical analysis are provided. These notes closely follow the lectures delivered by the second author at the Chinese Academy of Science during the Workshop “Stress Tensor Effects on Fluid Mechanics” in January 2010.

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Authors and Affiliations

  1. Ecole des Ponts ParisTech, CERMICS, 6 and 8 Av. B. Pascal, 77455, Marne-la-Vallée, France

    Claude Le Bris & Tony Lelièvre

  2. INRIA Rocquencourt, MICMAC team, B.P. 105, 78153, Le Chesnay Cedex, France

    Claude Le Bris & Tony Lelièvre

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  1. Claude Le Bris
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Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010

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Le Bris, C., Lelièvre, T. Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. Sci. China Math. 55, 353–384 (2012). https://doi.org/10.1007/s11425-011-4354-y

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