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

  • Date: 10/23/2018
  • Time: 15:30
Hyunju Kwon, UBC

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.

Other Information: 

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