中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：Prof. Xu Haiyan(广东工业大学数学系)
题 目：On some mathematical models related to the cubic Szegő equation
时 间：01.08(星期五), 15:30--16:30
地 点：晨兴410室
摘要:
The main purpose of this talk is to introduce some recent results on the long time behavior of solutions to some Hamiltonian PDEs, including global existence, growth of high Sobolev norms, scattering and long time approximation by resonant dynamics.
The mathematical models we study are related to the so--called the cubic Szegő equation, which was first introduced by Gérard and Grellier as an important toy model for totally non dispersive evolution equations and a completely integrable system.
