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Tellus A: Dynamic Meteorology and Oceanography Volume 39, 1987 - Issue 3

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Original Articles

Exact analytical solutions for elliptical vortices of the shallow-water equations

Benoit Cushman-RoisinDepartment of Oceanography, The Florida State University, Tallahassee. Florida32306, USA

Pages 235-244 | Received 06 Feb 1986, Accepted 03 Oct 1986, Published online: 15 Dec 2016

Cite this article
https://doi.org/10.3402/tellusa.v39i3.11756

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Citations (13)

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Chang Liu & Antwan D. Clark. (2023) Semi-analytical solutions of shallow water waves with idealised bottom topographies. Geophysical & Astrophysical Fluid Dynamics 117:1, pages 35-58.
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Christoph Frei. (1993) Dynamics of a two-dimensional ribbon of shallow water on an f-plane. Tellus A: Dynamic Meteorology and Oceanography 45:1, pages 44-53.
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Articles from other publishers (11)

Yao-Hsin Hwang, Dong-Taur Su & Jui-Ling Yu. (2022) A high resolution numerical method for solving atmospheric models. Chinese Journal of Physics 77, pages 92-111.
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G. Krokos, I. Cerovečki, V. P. Papadopoulos, M. C. Hendershott & I. Hoteit. (2022) Processes Governing the Seasonal Evolution of Mixed Layers in the Red Sea. Journal of Geophysical Research: Oceans 127:1.
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Alejandro Hermoso, Victor Homar & Jun-Ichi Yano. (2020) Exploring the limits of ensemble forecasting via solutions of the Liouville equation for realistic geophysical models. Atmospheric Research 246, pages 105127.
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Jonathan Lilly. (2018) Kinematics of a Fluid Ellipse in a Linear Flow. Fluids 3:1, pages 16.
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Dorota Jarecka, Anna Jaruga & Piotr K. Smolarkiewicz. (2015) A spreading drop of shallow water. Journal of Computational Physics 289, pages 53-61.
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H. Płotka & D. G. Dritschel. (2014) Simply-connected vortex-patch shallow-water quasi-equilibria. Journal of Fluid Mechanics 743, pages 481-502.
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Grant A. Stuart, Miles A. Sundermeyer & Dave Hebert. (2011) On the Geostrophic Adjustment of an Isolated Lens: Dependence on Burger Number and Initial Geometry*. Journal of Physical Oceanography 41:4, pages 725-741.
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Colin Rogers & Hongli An. (2010) Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory. Studies in Applied Mathematics, pages no-no.
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ALAN SHAPIRO & EVGENI FEDOROVICH. (2007) Katabatic flow along a differentially cooled sloping surface. Journal of Fluid Mechanics 571, pages 149-175.
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Robert J McCann & Adam M Oberman. (2004) Exact semi-geostrophic flows in an elliptical ocean basin. Nonlinearity 17:5, pages 1891-1922.
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Angelo Rubino, Katrin Hessner & Peter Brandt. (2002) Decay of Stable Warm-Core Eddies in a Layered Frontal Model. Journal of Physical Oceanography 32:1, pages 188-201.
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