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

    Fingerprint

    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

    Hu, Dan ; Lelièvre, T. / New entropy estimates for Oldroyd-B and related models. In: Communications in Mathematical Sciences. 2007 ; Vol. 5, No. 4. pp. 909-916.
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