PDE Seminar DATE 2018-07-25¡@11:10-12:30 PLACE ¼Æ¾ÇÀ]3F·|Ä³«Ç SPEAKER ½²©§ªB ±Ð±Â¡]The University of British Columbia¡^ TITLE On Global Weak Solutions of Navier-Stokes Equations with Non-Decaying Initial Data ABSTRACT We consider the Cauchy problem of 3D incompressible Navier-Stokes equations with uniformly locally square integrable initial data. If the square integral of the initial data on a ball vanishes as the ball goes to infinity, the existence of global weak solutions has been known. However, such data do not include constants, and the only results for non-decaying data are either for perturbations of constants, or when the velocity gradients are in L^p. We construct global weak solutions for non-decaying initial data whose local oscillations decay.