Speaker : Prof. Hsi-Wei Shih (National Cheng Kung University)
Title : Local and global well-posedness for the Quantum Zakharov System in 1D
Time : 2014-11-18 (Tue) 15:30 - 16:30
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: The quantum Zakharov system describes the nonlinear interaction between the quantum Langmuir and quantum ion-acoustic wave. In the talk, I will present the recent work (jointed with Y-F Fang and K-H Wang) on the local and global wellposedness results for the 1D quantum Zakharov system with initial data belonging to where (k,l) lies in a certain region of the plane. I will also discuss some results compared with the work of Ginibre-Tsutsumi-Velo who worked on the classical Zakharov system.