Time:13:00-14:00, Thursday, September 11 2025

          14:00-15:00, Monday, September 15 2025

Venue: E4-201, Yungu Campus

Speaker: Hedong Hou, Westlake University

Title: Regularity of solutions to the Navier-Stokes equation with initial data in $\mathrm{BMO}^{-1}$

Abstract: A renowned work (Koch-Tataru, 2001) establishes small-data global existence of mild solutions to the Navier-Stokes equation in the endpoint critical space $\mathrm{BMO}^{-1}$. Later on, (Miura-Sawada, 2006) and (Germain-Pavlovic-Staffilani, 2007) obtain spatial analyticity of the Koch-Tataru solution. But time regularity remains unknown. In this talk, we address time regularity for all mild solutions in the Koch-Tataru solution class with initial data in $\mathrm{BMO}^{-1}$, as well as the long-time behavior of global ones.

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