## Diff. Geom, Math. Phys., PDE Seminar: Hyunju Kwon

- Date: 10/23/2018
- Time: 15:30

University of British Columbia

Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation

We consider the Cauchy problem of 3D incompressible Navier-Stokes equations for uniformly locally square integrable initial data. The existence of a time-global weak solution has been known, when the square integral of the initial datum on a ball vanishes as the ball goes to infinity. For non-decaying data, however, the only known global solutions are either for perturbations of constants or when the velocity gradients are in Lp with finite p. In this talk, I will outline how to construct global weak solutions for general non-decaying initial data whose local oscillations slowly decay.

This is a joint work with Tai-Peng Tsai.

Location and time: MATH 105 3:30pm-4:30pm