Lie group method for solving viscous barotropic vorticity equation in ocean climate models

DOI10.1016/j.camwa.2017.11.016zbMath1409.35197OpenAlexW2775360498WikidataQ115359510 ScholiaQ115359510MaRDI QIDQ1732410

Amr M. Amin, Mina B. Abd-El-malek

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.11.016

zbMATH Keywords

Rossby-Haurwitz waveRossby waveabsolute vorticityrelative vorticityviscous barotropic non-divergent vorticity equation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) PDEs in connection with geophysics (35Q86)

Related Items (2)

Symmetry reductions, generalized solutions and dynamics of wave profiles for the \((2+1)\)-dimensional system of Broer-Kaup-Kupershmidt (BKK) equations ⋮ Symmetries and solutions for the inviscid oceanic Rossby wave equation

Cites Work

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• Applications of symmetry methods to partial differential equations
• Exact solutions of an energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere
• Rotationally invariant and partially invariant flows of a viscous incompressible fluid and a viscous gas
• On a new method for finding generalized equivalence transformations for differential equations involving arbitrary functions
• Note on a paper of John W. Miles
• Lie symmetries and exact solutions of the barotropic vorticity equation
• Linear theory of the circulation of a stratified ocean
• Symmetries and differential equations

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