Remarks on the theory of Oldroyd-B fluids in exterior domains

Matthias Georg Hieber

Research output: Contribution to journalArticle

Abstract

Consider the set of equations describing Oldroyd-B fluids with finite Weissenberg numbers in exterior domains. In this note, we describe the main ideas of the proofs of two recent results on global existence for this set of equations on exterior domains subject to Dirichlet boundary conditions. The methods described here are quite different from the techniques used in the Lagrangian approach which is often used in the case of infinite Weissenberg numbers.

Original languageEnglish
Pages (from-to)1307-1313
Number of pages7
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume6
Issue number5
DOIs
Publication statusPublished - 2013 Oct
Externally publishedYes

    Fingerprint

Keywords

  • Exterior domains
  • Global solution
  • Oldroyd-B fluids

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this