Global existence results for Oldroyd-B fluids in exterior domains: The case of non-small coupling parameters

Daoyuang Fang, Matthias Georg Hieber, Ruizhao Zi

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

Consider the set of equations describing Oldroyd-B fluids in an exterior domain. It is shown that this set of equations admits a unique, global solution in a certain function space provided the initial data, but not necessarily the coupling constant, is small enough.

Original languageEnglish
Pages (from-to)687-709
Number of pages23
JournalMathematische Annalen
Volume357
Issue number2
DOIs
Publication statusPublished - 2013 Oct
Externally publishedYes

Keywords

  • 35Q35
  • 76D03
  • 76D05

ASJC Scopus subject areas

  • Mathematics(all)

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