Time: 14:00-15:30, May 23 2025

Venue: E4-221, Yungu Campus

Title: History of Well-Posedness and Ill-Posedness for 3D Navier-Stokes Equations

Abstract: We will mainly read the recent paper by Coiculescu-Palasek on Non-Uniqueness of Smooth Solutions of the Navier-Stokes Equations from Critical Data. They recently constructed a BMO^{-1} initial data which admits two distinct smooth solutions . It proves the sharpness of the celebrated small data global well-posedness result by Koch-Tataru in the same scaling invariant space. As it is the first day of this seminar, I will review the historical developments of well-posedness and ill-posedness for 3D Navier-Stokes equations in scaling-invariant spaces to understand where the result by Coiculescu-Palasek fits in.

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