Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres

Abstract We study the ocean flow in Arctic gyres using a recent model for gyres derived in spherical coordinates on the rotating sphere. By projecting this model onto the plane using the Mercator projection, we obtain a semi-linear elliptic partial differential equation in an unbounded domain, diffi...

Full description

Bibliographic Details
Published in:Journal of Mathematical Fluid Mechanics
Main Author: Haziot, Susanna V.
Other Authors: University of Vienna
Format: Article in Journal/Newspaper
Language:English
Published: Springer Science and Business Media LLC 2021
Subjects:
Applied Mathematics
Computational Mathematics
Condensed Matter Physics
Mathematical Physics
Arctic
Online Access:http://dx.doi.org/10.1007/s00021-021-00584-0
https://link.springer.com/content/pdf/10.1007/s00021-021-00584-0.pdf
https://link.springer.com/article/10.1007/s00021-021-00584-0/fulltext.html
Description
Summary:Abstract We study the ocean flow in Arctic gyres using a recent model for gyres derived in spherical coordinates on the rotating sphere. By projecting this model onto the plane using the Mercator projection, we obtain a semi-linear elliptic partial differential equation in an unbounded domain, difficulty which is then overcome by projecting the PDE onto the unit disk via a conformal map. We then study existence, regularity and uniqueness of solutions for constant and linear vorticity functions.

Similar Items