Analysis Seminar

---

Non-Unique Smooth Solutions of the Navier-Stokes Equations from Critical Data

Speaker: Matei Coiculescu, Princeton University

Location: Warren Weaver Hall 1302

Date: Thursday, April 10, 2025, 11 a.m.

Synopsis:

 

We consider the Cauchy problem for the incompressible Navier-Stokes equations in dimension three and construct initial data in the critical space BMO^{-1} from which there exist two distinct global solutions that are smooth after initial time. One consequence of this construction is the sharpness of the small data global well-posedness result of Koch and Tataru. This is joint work with Stan Palasek.