Well‐posedness for the FENE dumbbell model of polymeric flows | Zendy

Masmoudi Nader | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research