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

Kenta Ohi, Tatsuo Iguchi

研究成果: Article査読

7 被引用数 (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.

本文言語English
ページ(範囲)1205-1240
ページ数36
ジャーナルDiscrete and Continuous Dynamical Systems
23
4
DOI
出版ステータスPublished - 2009 4

ASJC Scopus subject areas

  • 分析
  • 離散数学と組合せ数学
  • 応用数学

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