A two-phase problem for capillary-gravity waves and the Benjamin-Ono equation

Kenta Ohi, Tatsuo Iguchi

研究成果: Article

6 引用 (Scopus)

抄録

The Benjamin-Ono equation is known as a model of internal long waves in stratified fluids or two-fluid systems. In this paper, we consider the validity of this type of modeling of a two-phase problem for capillary-gravity waves, which is a free boundary problem for the incompressible Euler equation with the irrotational condition. We show that the solutions of the free boundary problem split up into two waves and the shape of each wave is governed by the Benjamin-Ono equation in a slow time scale.

元の言語English
ページ(範囲)1205-1240
ページ数36
ジャーナルDiscrete and Continuous Dynamical Systems
23
発行部数4
DOI
出版物ステータスPublished - 2009 4

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Capillary-gravity Waves
Benjamin-Ono Equation
Gravity waves
Free Boundary Problem
Incompressible Euler Equations
Stratified Fluid
Fluids
Euler equations
Time Scales
Internal
Fluid
Modeling
Model

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

これを引用

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AB - The Benjamin-Ono equation is known as a model of internal long waves in stratified fluids or two-fluid systems. In this paper, we consider the validity of this type of modeling of a two-phase problem for capillary-gravity waves, which is a free boundary problem for the incompressible Euler equation with the irrotational condition. We show that the solutions of the free boundary problem split up into two waves and the shape of each wave is governed by the Benjamin-Ono equation in a slow time scale.

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