Global existence results for Oldroyd-B fluids in exterior domains

    Research output: Contribution to journalArticle

    25 Citations (Scopus)

    Abstract

    In this paper we consider the set of equations describing Oldroyd-B fluids in exterior domains. It is shown that these equations admit a unique, global solution defined in a certain function space provided the initial data and the coupling constant are small enough.

    Original languageEnglish
    Pages (from-to)2617-2629
    Number of pages13
    JournalJournal of Differential Equations
    Volume252
    Issue number3
    DOIs
    Publication statusPublished - 2012 Feb 1

    Fingerprint

    Oldroyd-B Fluid
    Exterior Domain
    Global Existence
    Existence Results
    Fluids
    Global Solution
    Function Space

    Keywords

    • Exterior domains
    • Global solution
    • Oldroyd-B fluids

    ASJC Scopus subject areas

    • Analysis

    Cite this

    Global existence results for Oldroyd-B fluids in exterior domains. / Hieber, Matthias Georg; Naito, Yuka; Shibata, Yoshihiro.

    In: Journal of Differential Equations, Vol. 252, No. 3, 01.02.2012, p. 2617-2629.

    Research output: Contribution to journalArticle

    @article{dff56514f44547fc96404b797048a7e3,
    title = "Global existence results for Oldroyd-B fluids in exterior domains",
    abstract = "In this paper we consider the set of equations describing Oldroyd-B fluids in exterior domains. It is shown that these equations admit a unique, global solution defined in a certain function space provided the initial data and the coupling constant are small enough.",
    keywords = "Exterior domains, Global solution, Oldroyd-B fluids",
    author = "Hieber, {Matthias Georg} and Yuka Naito and Yoshihiro Shibata",
    year = "2012",
    month = "2",
    day = "1",
    doi = "10.1016/j.jde.2011.09.001",
    language = "English",
    volume = "252",
    pages = "2617--2629",
    journal = "Journal of Differential Equations",
    issn = "0022-0396",
    publisher = "Academic Press Inc.",
    number = "3",

    }

    TY - JOUR

    T1 - Global existence results for Oldroyd-B fluids in exterior domains

    AU - Hieber, Matthias Georg

    AU - Naito, Yuka

    AU - Shibata, Yoshihiro

    PY - 2012/2/1

    Y1 - 2012/2/1

    N2 - In this paper we consider the set of equations describing Oldroyd-B fluids in exterior domains. It is shown that these equations admit a unique, global solution defined in a certain function space provided the initial data and the coupling constant are small enough.

    AB - In this paper we consider the set of equations describing Oldroyd-B fluids in exterior domains. It is shown that these equations admit a unique, global solution defined in a certain function space provided the initial data and the coupling constant are small enough.

    KW - Exterior domains

    KW - Global solution

    KW - Oldroyd-B fluids

    UR - http://www.scopus.com/inward/record.url?scp=83055194392&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=83055194392&partnerID=8YFLogxK

    U2 - 10.1016/j.jde.2011.09.001

    DO - 10.1016/j.jde.2011.09.001

    M3 - Article

    AN - SCOPUS:83055194392

    VL - 252

    SP - 2617

    EP - 2629

    JO - Journal of Differential Equations

    JF - Journal of Differential Equations

    SN - 0022-0396

    IS - 3

    ER -