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 journalArticle

21 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

Fingerprint

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

Keywords

  • 35Q35
  • 76D03
  • 76D05

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Global existence results for Oldroyd-B fluids in exterior domains : The case of non-small coupling parameters. / Fang, Daoyuang; Hieber, Matthias Georg; Zi, Ruizhao.

In: Mathematische Annalen, Vol. 357, No. 2, 10.2013, p. 687-709.

Research output: Contribution to journalArticle

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