Time:16:00-17:00, Wednesday, March 18 2026

Venue: E14-507, Yungu Campus

Speaker: Hedong Hou, Westlake University

Title: Introduction to Convex Integration

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.

Click for more Analysis and Applied Math seminar talk