184
Views
31
CrossRef citations to date
0
Altmetric
Original Articles

Internal equatorial water waves in the f −plane

Pages 499-506 | Received 11 Aug 2015, Accepted 02 Oct 2015, Published online: 02 Nov 2015

References

  • BENNETT, A. Lagrangian fluid dynamics. Cambridge University Press, 2006.
  • CONSTANTIN, A. Edge waves along a sloping beach. J. Phys. A 34, 45 (2001), 9723–9731.
  • CONSTANTIN, A. On the deep water wave motion. J. Phys. A 34, 7 (2001), 1405–1417.
  • CONSTANTIN, A. The trajectories of particles in Stokes waves. Invent. Math. 166 (2006), 523–535.
  • CONSTANTIN, A. Nonlinear water waves with applications to wave-current interactions and tsunamis, vol. 81. SIAM, 2011.
  • CONSTANTIN, A. An exact solution for Equatorially trapped waves. J. Geophys. Res. 117 (2012), C05029.
  • CONSTANTIN, A. Some three-dimensional nonlinear Equatorial flows. J. Phys. Oceanogr. 43 (2013), 165–175.
  • CONSTANTIN, A. Some nonlinear, Equatorially trapped, nonhydrostatic internal geophysical waves, J. Phys. Oceanogr. 44 (2014), 781–789.
  • CONSTANTIN, A. AND GERMAIN, P. Instability of some Equatorially trapped waves. J. Geophys. Res. Oceans 118 (2013) 2802–2810.
  • CONSTANTIN, A. AND JOHNSON, R. S. The dynamics of waves interacting with the Equatorial Undercurrent, Geophys. Astrophys. Fluid Dyn. 109 (2015) 311–358.
  • CONSTANTIN, A. AND STRAUSS, W. Pressure beneath a Stokes wave, Comm. Pure Appl. Math. 63 (2010), 533–557.
  • CUSHMAN-ROISIN, B., AND BECKERS, J.-M. Introduction to geophysical fluid dynamics: physical and numerical aspects, vol. 101. Academic Press, 2011.
  • FEDOROV, A. V. AND BROWN, J. N. Equatorial waves, in Encyclopedia of Ocean Sciences, edited by J. Steele, pp. 3679–3695, Academic, San Diego, Calif., 2009.
  • GERSTNER, F. Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile. Ann. Phys. 2 (1809), 412–445.
  • GENOUD, F. AND HENRY, D. Instability of Equatorial water waves with an underlying current. J. Math. Fluid Mech. 16 (2014), 661–667.
  • HENRY, D. On the deep-water Stokes flow. Int. Math. Res. Not. 2008 (2008), 1–7.
  • HENRY, D. On Gerstner's water wave. Journal of Nonlinear Mathematical Physics 15, sup2 (2008), 87–95.
  • HENRY, D. An exact solution for Equatorial geophysical water waves with an underlying current. Eur. J. Mech. B Fluids 38 (2013), 18–21.
  • HENRY, D. Exact Equatorial water waves in the f − plane Non. Anal. Real World Appl. to appear, DOI: 10.1016/j.nonrwa.2015.10.00.
  • HENRY, D. AND HSU, H.-C. Instability of internal Equatorial water waves. J. Differential Equations 258 (2015), 1015–1024.
  • HENRY, D. AND HSU, H.-C. Instability of Equatorial water waves in the f −plane, Discrete Contin. Dyn. Syst. 35 (2015), 909–916.
  • HSU, H.-C. An exact solution for nonlinear internal Equatorial waves in the f − plane approximation, J. Math. Fluid Mech., 16 (2014), 463–471.
  • IONESCU-KRUSE, D. An exact solution for geophysical edge waves in the f − plane approximation. Nonlinear Anal. Real World Appl. 24 (2015), 190–195.
  • MATIOC, A. V. An exact solution for geophysical Equatorial edge waves over a sloping beach. J. Phys. A 45 365501 (2012).
  • MATIOC, A. V. Exact geophysical waves in stratifieg fluids. Appl. Anal. 92 (2013), 2254–2261.
  • MOLLO-CHRISTENSEN, E. Edge Waves in a Rotating Stratified Fluid, an Exact Solution. J. Phys. Oceanogr. 9 (1979), 226–229.
  • PEDLOSKY, J. Geophysical Fluid Dynamics. Springer, 1992.
  • STUHLMEIER, R. On edge waves in stratified water along a sloping beach. J. Nonlinear Math. Phys. 18 (2011), 127–137.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.