Well-posedness for the FENE dumbbell model of polymeric flows

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Abstract

We prove local and global well-posedness for the FENE dumbbell model for a very general class of potentials. Indeed, in prior local or global well-posedness results, conditions on the strength of the singularity (or on the parameter b) were made. Here we give a proof in the general case. We also prove global existence results if the data is small or if we restrict to the co-rotational model in dimension 2.

Original languageEnglish (US)
Pages (from-to)1685-1714
Number of pages30
JournalCommunications on Pure and Applied Mathematics
Volume61
Issue number12
DOIs
Publication statusPublished - Dec 2008

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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