On a two-point boundary-value problem in geophysics

DOI10.1080/00036811.2017.1395869zbMath1410.35133OpenAlexW2765149053MaRDI QIDQ4622820

Kateryna Marynets

Publication date: 18 February 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1395869

zbMATH Keywords

vorticityboundary-value problemgeophysical flowssecond order equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Linear boundary value problems for ordinary differential equations (34B05) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (13)

Successive approximations and interval halving for fractional BVPs with integral boundary conditions ⋮ Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the antarctic circumpolar current ⋮ Existence and stability results for a second-order differential equation for the Antarctic circumpolar current ⋮ Positive solutions to integral boundary value problems from geophysical fluid flows ⋮ Multiple solutions for an elliptic equation from the antarctic circumpolar current ⋮ Nonlinear differential equations modeling the Antarctic circumpolar current ⋮ Stuart-type vortices modeling the antarctic circumpolar current ⋮ On a nonlinear model for 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 ⋮ The modeling of the equatorial undercurrent using the Navier–Stokes equations in rotating spherical coordinates ⋮ A hyperbolic-type azimuthal velocity model for equatorial currents ⋮ Existence and Ulam-Hyers stability of positive solutions for a nonlinear model for the antarctic circumpolar current

Cites Work

• An exact solution for equatorial geophysical water waves with an underlying current
• Analyticity of periodic traveling free surface water waves with vorticity
• On a nonlinear model for arctic gyres
• A steady, purely azimuthal flow model for the antarctic circumpolar current
• Global bifurcation of steady gravity water waves with critical layers
• Vorticity effects on nonlinear wave–current interactions in deep water
• Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows
• Steady periodic waves bifurcating for fixed-depth rotational flows
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Wave–current interactions: an experimental and numerical study. Part 2. Nonlinear waves
• Vertical velocity in mesoscale geophysical flows
• Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates
• Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces
• Dynamics of the thermocline in the equatorial region of the Pacific ocean
• On the existence of free-surface azimuthal equatorial flows
• Gerstner waves in the presence of mean currents and rotation
• The dynamics of waves interacting with the Equatorial Undercurrent

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