### Abstract

An asymptotic expansion at spatial infinity of a weak time-periodic solution to the Navier-Stokes equations with a non-zero drift term in the three-dimensional whole-space is carried out. The asymptotic profile is explicitly identified and expressed in terms of the well-known Oseen fundamental solution. A pointwise estimate is given for the remainder term.

Original language | English |
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Title of host publication | Contemporary Mathematics |

Publisher | American Mathematical Society |

Pages | 121-144 |

Number of pages | 24 |

DOIs | |

Publication status | Published - 2018 |

Externally published | Yes |

### Publication series

Name | Contemporary Mathematics |
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Volume | 710 |

ISSN (Print) | 0271-4132 |

ISSN (Electronic) | 1098-3627 |

### Keywords

- Asymptotic expansion
- Navier-Stokes
- Time-periodic

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity'. Together they form a unique fingerprint.

## Cite this

Galdi, G. P., & Kyed, M. (2018). Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity. In

*Contemporary Mathematics*(pp. 121-144). (Contemporary Mathematics; Vol. 710). American Mathematical Society. https://doi.org/10.1090/conm/710/14367