## Abstract

In this paper we study the vorticity equations for viscous incompressible flows in the half space under the no-slip boundary condition on the velocity field. In particular, the boundary condition for the vorticity field is presented explicitly, and the solution formula for the linearized problem is obtained.

Original language | English |
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Title of host publication | Recent Developments of Mathematical Fluid Mechanics |

Editors | Yoshikazu Giga, Hideo Kozono, Masao Yamazaki, Hisashi Okamoto, Herbert Amann |

Publisher | Springer Verlag |

Pages | 351-374 |

Number of pages | 24 |

ISBN (Print) | 9783034809382 |

DOIs | |

Publication status | Published - 2016 |

Event | International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan Duration: 2013 Mar 5 → 2013 Mar 9 |

### Publication series

Name | Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday |
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Volume | none |

### Other

Other | International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 |
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Country/Territory | Japan |

City | Nara |

Period | 13/3/5 → 13/3/9 |

## Keywords

- Biot-Savart law
- Navier-Stokes equations
- Vorticity equations

## ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

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