A fixed-point approach for azimuthal equatorial ocean flows

Abstract

We present a study of equatorial ocean flows exhibiting geophysical effects, a complex vertical structure and moving in the azimuthal direction, with no variation in this direction. By means of a fixed-point approach, we study the relation between the pressure at the free surface of such flows and the resulting distortion of that free surface. The method in the present paper allows us to enlarge the class of nonlinearities from our previous works.

COMMUNICATED BY:

• Adrian Constantin

Keywords:

• Azimuthal flows
• cylindrical coordinates
• Coriolis force
• fixed-point theorem

2010 Mathematics Subject Classifications:

• Primary: 35Q31
• 35Q35
• Secondary: 35Q86
• 47H10

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

C. I. M. acknowledges the support of the Austrian Science Fund (FWF) under the research grant P 30878-N32.