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- W4291385715 abstract "In this article, we address the Cauchy problem for the KP-I equation [partial_t u + partial_x^3 u -partial_x^{-1}partial_y^2u + upartial_x u = 0] for functions periodic in $y$. We prove global well-posedness of this problem for any data in the energy space $mathbb{E} = left{uin L^2left(mathbb{R}timesmathbb{T}right),~partial_x u in L^2left(mathbb{R}timesmathbb{T}right),~partial_x^{-1}partial_y u in L^2left(mathbb{R}timesmathbb{T}right)right}$. We then prove that the KdV line soliton, seen as a special solution of KP-I equation, is orbitally stable under this flow, as long as its speed is small enough." @default.
- W4291385715 created "2022-08-15" @default.
- W4291385715 creator A5068830239 @default.
- W4291385715 date "2017-06-21" @default.
- W4291385715 modified "2023-09-29" @default.
- W4291385715 title "Global well-posedness of partially periodic KP-I equation in the energy space and application" @default.
- W4291385715 doi "https://doi.org/10.48550/arxiv.1706.06903" @default.
- W4291385715 hasPublicationYear "2017" @default.
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