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Instability of some equatorially trapped waves.

Adrian Constantin1, Pierre Germain2

  • 1Department of Mathematics, King's College London Strand, Westminster, UK ; Faculty of Mathematics, University of Vienna Nordbergstrasse, Vienna, Austria.

Journal of Geophysical Research. Oceans
|July 28, 2015
PubMed
Summary
This summary is machine-generated.

Equatorially trapped three-dimensional waves can become unstable. This instability occurs when wave steepness surpasses a critical threshold, according to a high-frequency asymptotics study.

Keywords:
equatorially trapped waveinstability

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Area of Science:

  • Oceanography
  • Fluid Dynamics
  • Wave Physics

Background:

  • Equatorially trapped waves are significant phenomena in geophysical fluid dynamics.
  • Understanding wave stability is crucial for predicting oceanographic processes.
  • Previous research has explored various aspects of wave behavior in oceanic environments.

Purpose of the Study:

  • To investigate the linear stability of exact equatorially trapped three-dimensional waves.
  • To determine the conditions under which these waves become unstable.
  • To apply a high-frequency asymptotics approach within a Lagrangian framework.

Main Methods:

  • Utilized a high-frequency asymptotics approach.
  • Employed the Lagrangian framework for analysis.
  • Examined three-dimensional, equatorially trapped wave solutions.

Main Results:

  • Identified a specific threshold for wave steepness.
  • Demonstrated that waves exceeding this steepness threshold are linearly unstable.
  • The study focused on exact solutions for these waves.

Conclusions:

  • Equatorially trapped three-dimensional waves exhibit linear instability.
  • Wave steepness is a critical parameter determining this instability.
  • The findings contribute to the understanding of wave dynamics in oceanic systems.