<p>The objective of this paper is to show a modified Gerstner-type solution for geophysical internal waves under the <i>f</i>-plane approximation with centripetal forces and arbitrary latitude. We further prove the instability criteria for such internal water waves through the short-wavelength perturbation method.</p>

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Instability of Internal Waves at Arbitrary Latitude with Centripetal Forces

  • Xun Wang,
  • Yanjuan Yang,
  • Jin Zhao

摘要

The objective of this paper is to show a modified Gerstner-type solution for geophysical internal waves under the f-plane approximation with centripetal forces and arbitrary latitude. We further prove the instability criteria for such internal water waves through the short-wavelength perturbation method.