Study of an elliptic partial differential equation modeling the ocean flow in arctic gyres

DOI10.1007/s00021-021-00584-0zbMath1468.35138OpenAlexW3158490752WikidataQ114232066 ScholiaQ114232066MaRDI QIDQ2028595

Susanna V. Haziot

Publication date: 1 June 2021

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-021-00584-0

zbMATH Keywords

elliptic equationspherical coordinatesgyres

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Existence and stability results for a second-order differential equation for the Antarctic circumpolar current ⋮ Nagumo-type uniqueness and stability for nonlinear differential equations on semi-infinite intervals ⋮ Study on a second-order ordinary differential equation for the ocean flow in arctic gyres

Cites Work

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• Functional analysis, Sobolev spaces and partial differential equations
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• Study of an elliptic partial differential equation modelling the antarctic circumpolar current
• Explicit two-dimensional solutions for the ocean flow in arctic gyres
• On the existence of solutions and the pressure function related to the antarctic circumpolar current
• Elliptic Partial Differential Equations of Second Order
• Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates
• Stuart vortices on a sphere
• The Mercator and Stereographic Projections, and Many in Between
• Stuart-type vortices on a rotating sphere
• On finite amplitude oscillations in laminar mixing layers

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