Well-posedness for the FENE dumbbell model of polymeric flows

✍ Scribed by Nader Masmoudi

• Publisher: John Wiley and Sons
• Year: 2008
• Tongue: English
• Weight: 242 KB
• Volume: 61
• Category: Article
• ISSN: 0010-3640
• DOI: 10.1002/cpa.20252

✦ Synopsis

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. © 2008 Wiley Periodicals, Inc.