Existence and uniqueness results for a second order differential equation for the ocean flow in arctic gyres

DOI10.1007/s00605-020-01388-6zbMath1448.34105OpenAlexW3008554065WikidataQ115385559 ScholiaQ115385559MaRDI QIDQ784012

Michal Fečkan, Wenlin Zhang, JinRong Wang

Publication date: 5 August 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-020-01388-6

zbMATH Keywords

existenceuniquenesssecond-order differential equationsocean gyre

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

Monotonicity of horizontal fluid velocity and pressure gradient distribution beneath equatorial Stokes waves ⋮ Existence and stability results for a second-order differential equation for the Antarctic circumpolar current ⋮ Stratified equatorial flows in the \(\beta \)-plane approximation with a free surface ⋮ Study on a second-order ordinary differential equation for the ocean flow in arctic gyres ⋮ Positive solutions to integral boundary value problems from geophysical fluid flows ⋮ Multiple solutions for an elliptic equation from the antarctic circumpolar current ⋮ On the nonlocal boundary value problem of geophysical fluid flows ⋮ Periodic boundary value problem for second-order differential equations from geophysical fluid flows ⋮ Existence and Ulam-Hyers stability of positive solutions for a nonlinear model for the antarctic circumpolar current

Cites Work

• On a nonlinear model for arctic gyres
• Monotone solutions of a nonlinear differential equation for geophysical fluid flows
• On an infinite-interval boundary-value problem in geophysics
• On a differential equation arising in geophysics
• A retarded Gronwall-like inequality and its applications
• Vertical velocity in mesoscale geophysical flows
• Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates
• Gerstner waves in the presence of mean currents and rotation
• The dynamics of waves interacting with the Equatorial Undercurrent
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