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

Computational Modeling of Normal and Abnormal Cortical Processing

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 (US)
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
State	Published - 2007

Keywords

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

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.4310/CMS.2007.v5.n4.a9

Cite this

@article{73825a472b77462184247e2c0dd5ce41,

title = "New entropy estimates for Oldroyd-B and related models",

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, Conformation tensor, Entropy, FENE-P, Oldroyd-B",

author = "D. Hu and T. Leli{\`e}vre",

year = "2007",

doi = "10.4310/CMS.2007.v5.n4.a9",

language = "English (US)",

volume = "5",

pages = "909--916",

journal = "Communications in Mathematical Sciences",

issn = "1539-6746",

publisher = "International Press of Boston, Inc.",

number = "4",

}

TY - JOUR

T1 - New entropy estimates for Oldroyd-B and related models

AU - Hu, D.

AU - Lelièvre, T.

PY - 2007

Y1 - 2007

N2 - 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.

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.

KW - A priori estimate

KW - Conformation tensor

KW - Entropy

KW - FENE-P

KW - Oldroyd-B

UR - http://www.scopus.com/inward/record.url?scp=39049136069&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39049136069&partnerID=8YFLogxK

U2 - 10.4310/CMS.2007.v5.n4.a9

DO - 10.4310/CMS.2007.v5.n4.a9

M3 - Article

AN - SCOPUS:39049136069

SN - 1539-6746

VL - 5

SP - 909

EP - 916

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

IS - 4

ER -

New entropy estimates for Oldroyd-B and related models

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this