Journal of Mathematical Fluid Mechanics

, Volume 16, Issue 4, pp 661–667 | Cite as

Instability of Equatorial Water Waves with an Underlying Current



In this paper we use the short-wavelength instability approach to derive an instability threshold for exact trapped equatorial waves propagating eastwards in the presence of an underlying current.

Mathematics Subject Classification (2010)

Primary 76B15 Secondary 76B47 35B50 26E05 


Geophysical flows instability currents 


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© Springer Basel 2014

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of ViennaViennaAustria
  2. 2.School of Mathematical SciencesUniversity College CorkCorkIreland

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