Communications in Mathematical Sciences

Volume 5 (2007)

Number 4

New entropy estimates for the Oldroyd-B model and related models

Pages: 909 – 916

DOI: http://dx.doi.org/10.4310/CMS.2007.v5.n4.a9

Authors

D. Hu

T. Lelièvre

Abstract

This short note presents the derivation of a new a priori estimate for the Oldroyd-B model. Such an estimate may provide useful information when investigating the long-time behaviour of macro-macro models, and the stability of numerical schemes. We show how this estimate can be used as a guideline to derive new estimates for other macroscopic models, like the FENE-P model.

Keywords

a priori estimate; Oldroyd-B; FENE-P; entropy; conformation tensor

2010 Mathematics Subject Classification

35B45, 35Q35, 76A05

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