New entropy estimates for Oldroyd-B and related models

Dan Hu, T. Lelièvre

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)909-916
Number of pages8
JournalCommunications in Mathematical Sciences
Volume5
Issue number4
DOIs
StatePublished - Jan 1 2007

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Entropy
Estimate
Macros
Long-time Behavior
A Priori Estimates
Model
Numerical Scheme

Keywords

  • A priori estimate
  • Conformation tensor
  • Entropy
  • FENE-P
  • Oldroyd-B

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

New entropy estimates for Oldroyd-B and related models. / Hu, Dan; Lelièvre, T.

In: Communications in Mathematical Sciences, Vol. 5, No. 4, 01.01.2007, p. 909-916.

Research output: Contribution to journalArticle

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