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

研究成果: Article

抄録

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.

元の言語English
ページ(範囲)1307-1313
ページ数7
ジャーナルDiscrete and Continuous Dynamical Systems - Series S
6
発行部数5
DOI
出版物ステータスPublished - 2013 10
外部発表Yes

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Oldroyd-B Fluid
Exterior Domain
Boundary conditions
Fluids
Global Existence
Dirichlet Boundary Conditions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

これを引用

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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.",
keywords = "Exterior domains, Global solution, Oldroyd-B fluids",
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