Time:14:00-15:00, Wednesday, March 11 2026

Venue: E14-507, Yungu Campus

Speaker: Hedong Hou, Westlake University

Title: Non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equations

Abstract: In this talk, I will present that the unconditional uniqueness of mild solutions to the Navier-Stokes equations fails in all the Besov spaces with negative regularity index, by constructing non-trivial stationary singular solutions via convex integration. To the best of our knowledge, this is the first non-uniqueness result in subcritical solution class. Similar results also hold for the fractional Navier-Stokes equations with arbitrarily large power of the Laplacian, even in certain subcritical Lebesgue spaces. This talk is based on a joint work with Alexey Cheskidov.

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