### Abstract

We report our results [5, 6, 7] concerning a global in time unique existence theorem of strong solutions to the equation describing the motion of compressible viscous fluid flow in a 2-dimensional exterior domain for small initial data and some decay properties of the analytic semigroup associated with Stokes operator of compressible viscous fluid flow in a 2-dimensional exterior domain. Our results are an extension of the works due to Matsumura and Nishida [13] and Kobayashi and Shibata [10] in a 3-dimensional exterior domain to the 2-dimensional case. We also discuss some analytic semigroup approach to the compressible viscous fluid flow in a bounded domain, which was first investigated by G. S trömer [20, 21, 22].

Original language | English |
---|---|

Title of host publication | Operator Theory: Advances and Applications |

Publisher | Springer International Publishing |

Pages | 305-321 |

Number of pages | 17 |

Volume | 221 |

ISBN (Print) | 9783034802963 |

Publication status | Published - 2012 |

Externally published | Yes |

Event | 21st International Workshop on Operator Theory and Applications, 2010 - Berlin, Germany Duration: 2010 Jul 12 → 2010 Jul 16 |

### Publication series

Name | Operator Theory: Advances and Applications |
---|---|

Volume | 221 |

ISSN (Print) | 02550156 |

ISSN (Electronic) | 22964878 |

### Other

Other | 21st International Workshop on Operator Theory and Applications, 2010 |
---|---|

Country | Germany |

City | Berlin |

Period | 10/7/12 → 10/7/16 |

### Fingerprint

### Keywords

- 2-dimensional exterior domain
- Global in time unique existence theorem
- L-L decay estimate
- Local energy decay

### ASJC Scopus subject areas

- Analysis

### Cite this

*Operator Theory: Advances and Applications*(Vol. 221, pp. 305-321). (Operator Theory: Advances and Applications; Vol. 221). Springer International Publishing.

**About compressible viscous fluid flow in a 2-dimensional exterior domain.** / Enomoto, Yuko; Shibata, Yoshihiro.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Operator Theory: Advances and Applications.*vol. 221, Operator Theory: Advances and Applications, vol. 221, Springer International Publishing, pp. 305-321, 21st International Workshop on Operator Theory and Applications, 2010, Berlin, Germany, 10/7/12.

}

TY - GEN

T1 - About compressible viscous fluid flow in a 2-dimensional exterior domain

AU - Enomoto, Yuko

AU - Shibata, Yoshihiro

PY - 2012

Y1 - 2012

N2 - We report our results [5, 6, 7] concerning a global in time unique existence theorem of strong solutions to the equation describing the motion of compressible viscous fluid flow in a 2-dimensional exterior domain for small initial data and some decay properties of the analytic semigroup associated with Stokes operator of compressible viscous fluid flow in a 2-dimensional exterior domain. Our results are an extension of the works due to Matsumura and Nishida [13] and Kobayashi and Shibata [10] in a 3-dimensional exterior domain to the 2-dimensional case. We also discuss some analytic semigroup approach to the compressible viscous fluid flow in a bounded domain, which was first investigated by G. S trömer [20, 21, 22].

AB - We report our results [5, 6, 7] concerning a global in time unique existence theorem of strong solutions to the equation describing the motion of compressible viscous fluid flow in a 2-dimensional exterior domain for small initial data and some decay properties of the analytic semigroup associated with Stokes operator of compressible viscous fluid flow in a 2-dimensional exterior domain. Our results are an extension of the works due to Matsumura and Nishida [13] and Kobayashi and Shibata [10] in a 3-dimensional exterior domain to the 2-dimensional case. We also discuss some analytic semigroup approach to the compressible viscous fluid flow in a bounded domain, which was first investigated by G. S trömer [20, 21, 22].

KW - 2-dimensional exterior domain

KW - Global in time unique existence theorem

KW - L-L decay estimate

KW - Local energy decay

UR - http://www.scopus.com/inward/record.url?scp=84890878502&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84890878502&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84890878502

SN - 9783034802963

VL - 221

T3 - Operator Theory: Advances and Applications

SP - 305

EP - 321

BT - Operator Theory: Advances and Applications

PB - Springer International Publishing

ER -