KAM Theorem with Normal Frequencies of Finite Limit-Points for Some Shallow Water Equations
KAM Theorem with Normal Frequencies of Finite Limit-Points for Some Shallow Water Equations
复制标题
一些浅水方程有限极限点正规频率的KAM定理
DOI：
10.1002/cpa.21931
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发表时间：
2021
影响因子：
3
通讯作者：
袁小平
中科院分区：
文献类型：
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作者：
袁小平
通过构造法向频率在有限点密集的无限维 KAM 定理，我们证明了一些浅水方程，例如 Benjamin-Bona-Mahony 方程和广义维 Pochhammer-Chree 方程，在某些边界条件下具有许多（有限维正 Lebesgue 测度的初始值族）时间上准周期的光滑解。 © 2020 Wiley 期刊有限责任公司
By constructing an infinite‐dimensional KAM theorem of the normal frequencies being dense at a finite point, we show that some shallow water equations such as the Benjamin‐Bona‐Mahony equation and the generalizedd‐dimensional Pochhammer‐Chree equation subject to some boundary conditions possess many (a family of initial values of positive Lebesgue measure of finite dimension) smooth solutions that are quasi‐periodic in time . © 2020 Wiley Periodicals LLC