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Well‐posedness for the FENE dumbbell model of polymeric flows
Author(s) -
Masmoudi Nader
Publication year - 2008
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20252
Subject(s) - dumbbell , mathematics , singularity , dimension (graph theory) , class (philosophy) , mathematical analysis , pure mathematics , computer science , medicine , artificial intelligence , physical therapy
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. © 2008 Wiley Periodicals, Inc.