New entropy estimates for Oldroyd-B and related models

D. Hu; T. Lelièvre

doi:10.4310/CMS.2007.v5.n4.a9

New entropy estimates for Oldroyd-B and related models

D. Hu
, T. Lelièvre

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	909-916
Number of pages	8
Journal	Communications in Mathematical Sciences
Volume	5
Issue number	4
DOIs	https://doi.org/10.4310/CMS.2007.v5.n4.a9
Publication status	Published - 1 Jan 2007

Keywords

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

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10.4310/CMS.2007.v5.n4.a9

Cite this

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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.",

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AB - 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.

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KW - Entropy

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New entropy estimates for Oldroyd-B and related models

Abstract

Keywords

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