Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres
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 whi...
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Published in | Journal of mathematical fluid mechanics Vol. 23; no. 2 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.05.2021
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 1422-6928 1422-6952 |
DOI: | 10.1007/s00021-021-00584-0 |