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Exact Solution and Instability for Geophysical Waves with Centripetal Forces and at Arbitrary Latitude

  • Jifeng Chu
  • Delia Ionescu-KruseEmail author
  • Yanjuan Yang
Article
  • 57 Downloads

Abstract

The aim of this paper is to provide, in a \(\beta \)-plane approximation with centripetal forces, an explicit three-dimensional nonlinear solution for geophysical waves propagating at an arbitrary latitude, in the presence of a constant underlying background current. This solution is linearly unstable when the steepness of the wave exceeds a specific threshold.

Keywords

Geophysical waves Centripetal forces Exact solution Short-wavelength method Localized instability analysis 

Notes

Acknowledgements

We would like to show our thanks to the anonymous referees for their valuable suggestions and comments.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiChina
  2. 2.Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit No. 6BucharestRomania
  3. 3.Department of MathematicsHohai UniversityNanjingChina

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