Global existence results for Oldroyd-B fluids in exterior domains

Matthias Hieber*, Yuka Naito, Yoshihiro Shibata

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)


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
Issue number3
Publication statusPublished - 2012 Feb 1


  • Exterior domains
  • Global solution
  • Oldroyd-B fluids

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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