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The FENE dumbbell model near equilibrium

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Abstract

We study the global existence of smooth solutions near the equilibrium to a coupled microscopic-macroscopic FENE dumbbell model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains.

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Authors and Affiliations

  1. Courant Institute, New York University, New York, NY, 10012, USA

    Fang Hua Lin

  2. Academy of Mathematics & Systems Science, CAS, Beijing, 100080, P. R. China

    Ping Zhang

Authors
  1. Fang Hua Lin
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  2. Ping Zhang
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Correspondence to Fang Hua Lin.

Additional information

Lin is partially supported by NSF Grant DMS-0201443; Zhang is partially supported by NSF of China under Grants 10525101 and 10421101, 973 Project and the Innovation Grant from Chinese Academy of Sciences

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Lin, F.H., Zhang, P. The FENE dumbbell model near equilibrium. Acta. Math. Sin.-English Ser. 24, 529–538 (2008). https://doi.org/10.1007/s10114-007-1034-5

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  • DOI: https://doi.org/10.1007/s10114-007-1034-5

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