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科学研究
RESEARCH
Construction of quasi-periodic solutions for the quintic Schr\
时间  Datetime
2020-11-19 14:00 — 15:00
地点  Venue
腾讯会议 APP3()
报告人  Speaker
Jianguo Si
单位  Affiliation
Shandong University
邀请人  Host
Yilei Tang
备注  remarks
腾讯会议 ID:535 616 389
报告摘要  Abstract

In this talk, we develop an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional Hamiltonian systems. As an application of the theorem, we study the quintic nonlinear Schr\"odinger equation on the two-dimensional torus.

We obtain a Whitney smooth family of small-amplitude quasi-periodic solutions for the equation. The overall strategy in the proof of the KAM theorem is a normal form techniques sparsing angle-dependent terms, which can be achieved by choosing the appropriate tangential sites.