### 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 |

巻 | 6 |

発行部数 | 5 |

DOI | |

出版物ステータス | Published - 2013 10 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics
- Discrete Mathematics and Combinatorics

### これを引用

**Remarks on the theory of Oldroyd-B fluids in exterior domains.** / Hieber, Matthias Georg.

研究成果: Article

}

TY - JOUR

T1 - Remarks on the theory of Oldroyd-B fluids in exterior domains

AU - Hieber, Matthias Georg

PY - 2013/10

Y1 - 2013/10

N2 - 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.

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.

KW - Exterior domains

KW - Global solution

KW - Oldroyd-B fluids

UR - http://www.scopus.com/inward/record.url?scp=84875635763&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875635763&partnerID=8YFLogxK

U2 - 10.3934/dcdss.2013.6.1307

DO - 10.3934/dcdss.2013.6.1307

M3 - Article

VL - 6

SP - 1307

EP - 1313

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

SN - 1937-1632

IS - 5

ER -