### Abstract

We show the existence of weak solutions of the Navier-Stokes equations with test functions in the weak-L^{n} space. As an application, we give a new criterion on uniqueness and regularity of weak solutions which covers the previous results.

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

Pages (from-to) | 55-79 |

Number of pages | 25 |

Journal | Tohoku Mathematical Journal |

Volume | 53 |

Issue number | 1 |

Publication status | Published - 2001 Mar |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Weak solutions of the Navier-Stokes equations with test functions in the Weak-L ^{n} space.** / Kozono, Hideo.

Research output: Contribution to journal › Article

^{n}space',

*Tohoku Mathematical Journal*, vol. 53, no. 1, pp. 55-79.

}

TY - JOUR

T1 - Weak solutions of the Navier-Stokes equations with test functions in the Weak-Ln space

AU - Kozono, Hideo

PY - 2001/3

Y1 - 2001/3

N2 - We show the existence of weak solutions of the Navier-Stokes equations with test functions in the weak-Ln space. As an application, we give a new criterion on uniqueness and regularity of weak solutions which covers the previous results.

AB - We show the existence of weak solutions of the Navier-Stokes equations with test functions in the weak-Ln space. As an application, we give a new criterion on uniqueness and regularity of weak solutions which covers the previous results.

UR - http://www.scopus.com/inward/record.url?scp=0039888245&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039888245&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0039888245

VL - 53

SP - 55

EP - 79

JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

SN - 0040-8735

IS - 1

ER -