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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 7
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Articles

On the existence of free-surface azimuthal equatorial flows

Calin Iulian MartinFaculty of Mathematics, University of Vienna, Vienna, Austria.Correspondence[email protected]
Pages 1207-1214 | Received 03 Mar 2016, Accepted 15 Apr 2016, Published online: 03 May 2016

Citations (22)

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Read on this site (5)

Kateryna Marynets. (2022) A hyperbolic-type azimuthal velocity model for equatorial currents. Applicable Analysis 101:3, pages 1147-1155.
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Calin Iulian Martin & Adrian Petruşel. (2022) A fixed-point approach for azimuthal equatorial ocean flows. Applicable Analysis 101:1, pages 217-224.
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Kateryna Marynets. (2021) The modeling of the equatorial undercurrent using the Navier–Stokes equations in rotating spherical coordinates. Applicable Analysis 100:10, pages 2069-2077.
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Kateryna Marynets. (2019) On a two-point boundary-value problem in geophysics. Applicable Analysis 98:3, pages 553-560.
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Mateusz Kluczek. (2018) Equatorial water waves with underlying currents in the f-plane approximation. Applicable Analysis 97:11, pages 1867-1880.
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Articles from other publishers (17)

Marwa Berjawi, Toufic ElArwadi & Samer Israwi. (2022) A shallow water modeling with the Coriolis effect coupled with the surface tension. Monatshefte für Mathematik 201:4, pages 975-1002.
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Calin I. Martin. (2022) On azimuthally propagating equatorial atmospheric waves. Monatshefte für Mathematik 201:4, pages 1185-1195.
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Kateryna Marynets. (2021) A boundary-value problem arising in the modelling of equatorial wind-drift currents. Monatshefte für Mathematik 197:2, pages 311-317.
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Calin Iulian Martin. (2020) Geophysical water flows with constant vorticity and centripetal terms. Annali di Matematica Pura ed Applicata (1923 -) 200:1, pages 101-116.
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JinRong Wang, Michal Fečkan & Wenlin Zhang. (2021) On the nonlocal boundary value problem of geophysical fluid flows. Zeitschrift für angewandte Mathematik und Physik 72:1.
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D Henry & C I Martin. (2020) Stratified equatorial flows in cylindrical coordinates. Nonlinearity 33:8, pages 3889-3904.
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Calin Iulian Martin. (2019) Constant vorticity water flows with full Coriolis term. Nonlinearity 32:7, pages 2327-2336.
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D. Henry & C.I. Martin. (2019) Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification. Journal of Differential Equations 266:10, pages 6788-6808.
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D. Henry & C. I. Martin. (2019) Exact, Free-Surface Equatorial Flows with General Stratification in Spherical Coordinates. Archive for Rational Mechanics and Analysis.
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Kateryna Marynets. (2019) The Antarctic Circumpolar Current as a shallow-water asymptotic solution of Euler's equation in spherical coordinates. Deep Sea Research Part II: Topical Studies in Oceanography 160, pages 58-62.
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Kateryna Marynets. (2017) A nonlinear two-point boundary-value problem in geophysics. Monatshefte für Mathematik 188:2, pages 287-295.
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Delia Ionescu-Kruse & Calin Iulian Martin. (2016) Local Stability for an Exact Steady Purely Azimuthal Equatorial Flow. Journal of Mathematical Fluid Mechanics 20:1, pages 27-34.
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R. S. Johnson. (2017) Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376:2111, pages 20170092.
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Delia Ionescu-Kruse. (2016) Exact Steady Azimuthal Edge Waves in Rotating Fluids. Journal of Mathematical Fluid Mechanics 19:3, pages 501-513.
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Hung-Chu Hsu & Calin Iulian Martin. (2017) Azimuthal equatorial capillary–gravity flows in spherical coordinates. Nonlinear Analysis: Real World Applications 36, pages 278-286.
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Hung-Chu Hsu & Calin Iulian Martin. (2017) On the existence of solutions and the pressure function related to the Antarctic Circumpolar Current. Nonlinear Analysis 155, pages 285-293.
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Hung-Chu Hsu & Calin Iulian Martin. (2016) Free-surface capillary–gravity azimuthal equatorial flows. Nonlinear Analysis 144, pages 1-9.
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