Publication Cover
Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 7
103
Views
22
CrossRef citations to date
0
Altmetric
Articles

On the existence of free-surface azimuthal equatorial flows

Pages 1207-1214 | Received 03 Mar 2016, Accepted 15 Apr 2016, Published online: 03 May 2016

References

  • LeBlond PH, Mysak LA. Waves in the ocean. Amsterdam: Elsevier; 1978.
  • Constantin A, Johnson RS. The dynamics of waves interacting with the equatorial undercurrent. Geophys. Astrophys. Fluid Dyn. 2015;109:311–358.
  • Ionescu-Kruse D, Matioc A-V. Small-amplitude equatorial water waves with constant vorticity: dispersion relations and particle trajectories. Discrete Contin. Dyn. Syst. Ser. A. 2014;34:3045–3060.
  • Martin CI. Dynamics of the thermocline in the equatorial region of the Pacific Ocean. J. Nonlinear Math. Phys. 2015;22:516–522.
  • Fedorov AV, Brown JN. Equatorial waves. Steele J, editor. In Encyclopedia of ocean sciences. New York (NY): Academic Press; 2009. 3679–3695
  • Constantin A. On the modelling of equatorial waves. Geophys. Res. Lett. 2012;39:L05602.
  • Constantin A. An exact solution for equatorially trapped waves. J. Geophys. Res. 2012;117:C05029.
  • Henry D. An exact solution for equatorial geophysical water waves with an underlying current Eur. J. Mech B/ Fluids. 2013;38:18–21.
  • Constantin A. Some three-dimensional nonlinear equatorial flows. J. Phys. Oceanogr. 2013;43:165–175.
  • Constantin A. Some nonlinear, equatorially trapped, nonhydrostatic internal geophysical waves. J. Phys. Oceanogr. 2014;44:781–789.
  • Henry D. Internal equatorial water waves in the f-plane. J. Nonlinear Math. Phys. 2015;22:499–506.
  • Constantin A, Johnson RS. An exact, steady, purely azimuthal equatorial flow with a free surface. J. Phys. Oceanogr. doi:10.1175/JPO-D-15-0205.1.
  • Constantin A, Germain P. Instability of some equatorially trapped waves. J. Geophys. Res. Oceans. 2013;118:2802–2810.
  • Ionescu-Kruse D. Instability of edge waves along a sloping beach. J. Differ. Equ. 2014;256:3999–4012.
  • Henry D, Hsu H-C. Instability of equatorial waves in the f-plane. Discrete Contin. Dyn. Syst. Ser A. 2015;35:909–916.
  • Henry D, Hsu H-C. Instability of internal equatorial water waves. J. Differ. Equ. 2015;258:1015–1024.
  • Hsu H-C. An exact solution for equatorial waves. Monatsh. Math. 2015;176:143–152.
  • Johnson RS. An ocean undercurrent, a thermocline, a free surface, with waves: a problem in classical fluid mechanics. J. Nonlinear Math. Phys. 2015;22:475–493.
  • Dijkstra HA. Nonlinear physical oceanography. Dordrecht: Kluwer Academic Publishers; 2000.
  • Berger MS. Nonlinearity and functional analysis. New York (NY): Academic Press; 1977.

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.