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- W2051416944 abstract "We show the time-local well-posedness for a system of nonlinear dispersive equations for the water wave interaction[formula]It is shown that for any initial data (u0, v0)∈Hs(R)×Hs−1/2(R) (s⩾0), the solution for the above equation uniquely exists in a subset ofC((−T, T);Hs)×C((−T, T);Hs−1/2) and depends continuously on the data. By virtue of a special structure of the nonlinear coupling, the solution is stable under a singular limiting process." @default.
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- W2051416944 date "1998-10-01" @default.
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- W2051416944 title "Interaction Equations for Short and Long Dispersive Waves" @default.
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- W2051416944 doi "https://doi.org/10.1006/jfan.1998.3257" @default.
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