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美國特拉華大學Philippe Guyenne教授學術報告

發布:2019-01-13 14:00?????? 作者:admin??????來源:未知

報告題目:On the surface signature of internal waves in the ocean

    人:Prof. Philippe Guyenne

報告時間:20191131430

報告地點:清水河校區主樓A1-513

    人:徐立偉 教授

 

報告摘要:

Based on a Hamiltonian formulation of a two-layer ocean, we consider the situation in which internal waves are treated in the long-wave regime while surface waves are described in the modulation regime. We derive an asymptotic model for surface-internal wave interactions, in which the nonlinear internal waves evolve according to a KdV equation while the smaller-amplitude surface waves propagate at a resonant group velocity and their envelope is described by a linear Schrodinger equation.

In the case of an internal soliton of depression, for small depth and density ratios of the two layers, the Schrodinger equation is shown to be in the semi-classical regime in analogy with quantum mechanics, and thus admits localized bound states. This leads to the phenomenon of trapped surface modes, which propagate as the signature of the internal wave, and thus it is proposed as a possible explanation for bands of surface roughness above internal waves in the ocean.

Some numerical simulations taking oceanic parameters into account are also performed to illustrate this phenomenon. This is joint work with Walter Craig and Catherine Sulem.

 

 

報告人簡介:

Research interests: mathematical modeling and numerical simulation of nonlinear dispersive waves with a focus on free-surface flows in fluid mechanics.2005-present: assistant/associate/full professor in the department of Mathematical Sciences at the University of Delaware, 2001-2005: postdoc in the department of Mathematics and Statistics at McMaster University (Canada), 2000-2001: visitor at the Center for Mathematics and Applications at the Ecole Normale Superieure de Cachan (France), 2000: PhD from the University of Nice-Sophia Antipolis (France).

 

 

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