Báo cáo viên: Lương Thái Hưng
Thời gian: 9h30, Thứ 3, ngày 13 tháng 11 năm 2018
Địa điểm: Phòng 302, Nhà A5, Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy Hà Nội
Tóm tắt: The transverse stability describes the orbital stability of a 1-D solitary wave under the time evolution of a 2-D model, It is a very interesting and also difficult topic in PDE. The nonlinear transverse stability forÂÂ a class of PDE was recently studied by Fredric Rousset and Nikolay Tvetzkov, they gave a general method for a large class of equation including the (cubic) nonlinear Schroedinger equation. However, It is nontrivial to extend this method to another class of PDE of Schroedinger type, for example, the transverse stability is still unknown for the Davey-Stewartson system, Zakharov system and Zakharov-Rubenchik system. In this talk, we introduce the transverse stability and our recent results on this problem |
