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- W2964306571 abstract "We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space $H^{1/2}times L^2$ is the lowest regularity attained and also we cover the energy space $H^{1}times L^2$, where global well-posedness follows from the conservation laws of the system. Moreover, we show the existence of smooth explicit family of periodic travelling waves of emph{dnoidal} type and we prove, under certain conditions, that this family is orbitally stable in the energy space." @default.
- W2964306571 created "2019-07-30" @default.
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- W2964306571 date "2010-09-05" @default.
- W2964306571 modified "2023-09-23" @default.
- W2964306571 title "Well-posedness and stability in the periodic case for the Benney system" @default.
- W2964306571 doi "https://doi.org/10.48550/arxiv.1009.0944" @default.
- W2964306571 hasPublicationYear "2010" @default.
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