PDE Seminar

DATE2018-07-25 11:00-12:15


SPEAKER蔡岱朋 教授(University of British Columbia

TITLEOn 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.