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arXiv · 1811.01446

Benjamin-Ono model of an internal wave under a flat surface

Alan C. Compelli·Rossen I. Ivanov
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Abstract

A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the fluid dynamics is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.

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Alan C. Compelli, Rossen I. Ivanov. 2018-11-04. Benjamin-Ono model of an internal wave under a flat surface. https://doi.org/10.3934/dcds.2019185

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