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...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical fluid mechanics Vol. 23; no. 2
Main Author Haziot, Susanna V.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.05.2021
Springer Nature B.V
Subjects
Classical and Continuum Physics
Conformal mapping
Fluid mechanics
Fluid- and Aerodynamics
Gyres
Mathematical Methods in Physics
Mercator projection
Ocean models
Partial differential equations
Physics
Physics and Astronomy
Rotating spheres
Spherical coordinates
Theoretical mathematics
Vorticity
Arctic region
Elliptic equation
76U05
35Q35
Spherical coordinates
Gyres
Online AccessGet full text

Cover

More Information
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.
ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-021-00584-0