Response solution to complex Ginzburg-Landau equation with quasi-periodic forcing of Liouvillean frequency

被引：0

作者：

Wang, Shimin ^{[1
]}

Liu, Jie ^{[2
]}

机构：

[1] Shandong Univ, Sch Math, Jinan, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Complex Ginzburg-Landau equation; Response solution; Liouvillean frequency; KAM theory; TORI;

D O I：

10.1186/s13661-020-01367-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of a response solution with the Liouvillean frequency vector to the quasi-periodically forced complex Ginzburg-Landau equation, whose linearized system is elliptic-hyperbolic, is obtained. The proof is based on constructing a modified KAM theorem for an infinite-dimensional dissipative system with Liouvillean forcing frequency.

引用

页数：35

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