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DATE | 2018-07-25 11:10-12:30 |

PLACE | 數學館3F會議室 |

SPEAKER | 蔡岱朋 教授（The University of British Columbia） |

TITLE | On Global Weak Solutions of Navier-Stokes Equations with Non-Decaying Initial Data |

ABSTRACT | We consider the Cauchy problem of 3D incompressible Navier-Stokes equations with uniformly locally square integrable initial data. If the square integral of the initial data on a ball vanishes as the ball goes to infinity, the existence of global weak solutions has been known. However, such data do not include constants, and the only results for non-decaying data are either for perturbations of constants, or when the velocity gradients are in L^p. We construct global weak solutions for non-decaying initial data whose local oscillations decay. |