|PDE Seminar, University of British Columbia, Prof. Stephen Gustafson|
Thursday, July 12, 14:10—15:00 數學系3樓會議室
Title: Ground State Solitons of Perturbed Critical Problems: Two Examples
|PDE Seminar, University of British Columbia 蔡岱朋教授|
Wednesday, July 25, 11:00—12:15 數學系3174
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.