|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:Schrodinger-Poisson system, also known as the nonlinear Schrodinger-Maxwell 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 non-autonomous Schrodinger-Poisson 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 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.