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- W2003997174 abstract "The Benjamin-Ono equation is known as a model of internal long waves instratified fluids or two-fluid systems.In this paper, we consider the validity of this type of modeling of atwo-phase problem for capillary-gravity waves, which is a free boundaryproblem for the incompressible Euler equation with the irrotational condition.We show that the solutions of the free boundary problem split upinto two waves and the shape of each wave is governed bythe Benjamin-Ono equation in a slow time scale." @default.
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- W2003997174 date "2009-01-01" @default.
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- W2003997174 title "A two-phase problem for capillary-gravity waves and the Benjamin-Ono equation" @default.
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- W2003997174 doi "https://doi.org/10.3934/dcds.2009.23.1205" @default.
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