Date | Sep 06, 2021 |
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Speaker | MIURA, Hideyuki |

Dept. | Tokyo Institute of Technology |

Room | 선택 |

Time | 16:00-17:30 |

**https://snu-ac-kr.zoom.us/j/4020312420**

We study the regular sets of local energy solutions to the Navier-Stokes equations in terms of conditions on the initial data. It is shown that if a weighted L^2 norm of the initial data is finite, then all local energy solutions are regular in a region confined by space-time hypersurfaces determined by the weight. This result refines and generalizes Theorems C and D of Caffarelli, Kohn and Nirenberg (1982). This is a joint work with Kyungkeun Kang and Tai-Peng Tsai.

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