Shallow water models for stratified equatorial flows

Anna Geyer, Ronald Quirchmayr

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

Abstract

Our aim is to study the effect of a continuous prescribed density variation on the propagation of ocean waves. More precisely, we derive KdV-type shallow water model equations for unidirectional flows along the Equator from the full governing equations by taking into account a prescribed but arbitrary depth-dependent density distribution. In contrast to the case of constant density, we obtain for each fixed water depth a different model equation for the horizontal component of the velocity field. We derive explicit formulas for traveling wave solutions of these model equations and perform a detailed analysis of the effect of a given density distribution on the depth-structure of the corresponding traveling waves.

Original languageEnglish
Pages (from-to)4533-4545
Number of pages13
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume39
Issue number8
DOIs
Publication statusPublished - 2019

Keywords

  • Continuous density stratification
  • Equatorial shallow water equations
  • Explicit traveling wave solutions

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