On the nonlocal boundary value problem of geophysical fluid flows

DOI10.1007/s00033-020-01452-zzbMath1480.34024OpenAlexW3118584411WikidataQ114693009 ScholiaQ114693009MaRDI QIDQ2026454

JinRong Wang, Michal Fečkan, Wenlin Zhang

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01452-z

zbMATH Keywords

positive solutionsFredholm operatornonlocal boundary value problemLeray-Schauder degree

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Climate science and climate modeling (86A08)

Related Items (12)

Exact solution and instability for geophysical edge waves ⋮ Monotonicity of horizontal fluid velocity and pressure gradient distribution beneath equatorial Stokes waves ⋮ Atmospheric Ekman flows with uniform density in ellipsoidal coordinates: explicit solution and dynamical properties ⋮ Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the antarctic circumpolar current ⋮ Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic Circumpolar Current ⋮ 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 ⋮ Explicit solutions of atmospheric Ekman flow with some cases of eddy viscosities ⋮ Study on a second-order ordinary differential equation for the ocean flow in arctic gyres ⋮ Multiple solutions for an elliptic equation from the antarctic circumpolar current ⋮ On some azimuthally propagating flows with stratification ⋮ Existence and Ulam-Hyers stability of positive solutions for a nonlinear model for the antarctic circumpolar current

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