## 抄録

It is shown that a large class of semilinear evolution equations on the whole line with periodic or almost periodic forces admit periodic or almost periodic mild solutions. The approach presented generalizes the method described in [28] to the case of the whole line and to forces which are almost periodic in the sense of H. Bohr. It relies on interpolation methods and on L^{p}- L^{q} -smoothing properties of the underlying linearized equation. Applied to incompressible fluid flow problems, the approach yields new results on (almost) periodic solutions to the Navier-Stokes-Oseen equations, to the flow past rotating obstacles, to the Navier-Stokes equations in the rotational setting as well as to Ornstein–Uhlenbeck type equations.

本文言語 | English |
---|---|

ホスト出版物のタイトル | Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday |

出版社 | Springer New York LLC |

ページ | 51-81 |

ページ数 | 31 |

巻 | 215 |

ISBN（印刷版） | 9783319667621 |

DOI | |

出版ステータス | Published - 2017 1月 1 |

外部発表 | はい |

イベント | International Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015 - Sapporo, Japan 継続期間: 2015 8月 16 → 2015 8月 18 |

### Other

Other | International Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015 |
---|---|

国/地域 | Japan |

City | Sapporo |

Period | 15/8/16 → 15/8/18 |

## ASJC Scopus subject areas

- 数学 (全般)