
7月演講

PDE Seminar, 山東理工大學理學院 孫俊濤教授
Tuesday, July 3, 16:10—17:00 數學系3174
Title: The Filtration of Nehari Manifold and Its Application in Some Nonlocal Problems Abstract:SchrodingerPoisson system, also known as the nonlinear SchrodingerMaxwell equations, is suggested as a model describing the interaction of a charged particle with the electrostatic field in quantum mechanics. In this talk, by introducing a new set, which is regarded as the filtration of the Nehari manifold, and together with variational methods, we are concerned with the existence of positive solution for a class of nonautonomous SchrodingerPoisson systems without any symmetry assumptions. Furthermore，the existence of ground state solution is also obtained.

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 NavierStokes Equations with NonDecaying Initial Data Abstract:We consider the Cauchy problem of 3D incompressible NavierStokes 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 nondecaying data are either for perturbations of constants, or when the velocity gradients are in L^p. We construct global weak solutions for nondecaying initial data whose local oscillations decay.





