Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres
Keyword(s):
AbstractWe 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.
2019 ◽
Vol 29
(5)
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pp. 053106
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2019 ◽
Vol 29
(11)
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pp. 3793-3807
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2012 ◽
Vol 16
(1)
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pp. 111-140
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2018 ◽
Vol 75
(10)
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pp. 3537-3548
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2015 ◽
Vol 23
(04)
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pp. 1550032
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1982 ◽
Vol 7
(5)
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pp. 609-643
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