On a nonlinear model for the Antarctic Circumpolar Current

Abstract

In this paper, we study a model for the flow of the Antarctic Circumpolar Current, which can reduce for flows with no azimuthal variations to a two-point boundary-value problem for a second-order ordinary differential equation. We investigate the existence of bounded solutions to the problem. For some class of oceanic vorticities F, we can obtain that the solution is unique and radially symmetric.

COMMUNICATED BY:

• Adrian Constantin

Keywords:

• Nonlinear integral equations
• geophysical flows
• radially symmetric

Mathematics Subject Classification (2000):

• 4B15
• 58J32
• 76B03

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Yanjuan Yang http://orcid.org/0000-0002-7370-1516