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

Matthias Georg Hieber

doi:10.3934/dcdss.2013.6.1307

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

Matthias Georg Hieber^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1307-1313
Number of pages	7
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	6
Issue number	5
DOIs	https://doi.org/10.3934/dcdss.2013.6.1307
Publication status	Published - 2013 Oct
Externally published	Yes

Keywords

Exterior domains
Global solution
Oldroyd-B fluids

ASJC Scopus subject areas

Analysis
Applied Mathematics
Discrete Mathematics and Combinatorics

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10.3934/dcdss.2013.6.1307

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AB - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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