Lie symmetries and exact solutions of the barotropic vorticity equation

Alexander Bihlo; Roman O. Popovych

doi:10.1063/1.3269919

Lie symmetries and exact solutions of the barotropic vorticity equation

Journal of Mathematical Physics ◽

10.1063/1.3269919 ◽

2009 ◽

Vol 50 (12) ◽

pp. 123102 ◽

Cited By ~ 20

Author(s):

Alexander Bihlo ◽

Roman O. Popovych

Keyword(s):

Exact Solutions ◽

Lie Symmetries ◽

Vorticity Equation ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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SPECTRAL STRUCTURE OF GROWING NORMAL MODES FOR EXACT SOLUTIONS TO THE BAROTROPIC VORTICITY EQUATION ON A SPHERE

Computational Fluid Dynamics ◽

10.1142/9789812811592_0014 ◽

2001 ◽

Cited By ~ 4

Author(s):

YURI N. SKIBA ◽

ANDREI Y. STRELKOV

Keyword(s):

Exact Solutions ◽

Normal Modes ◽

Vorticity Equation ◽

Spectral Structure ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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Exact solutions of an energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere

Physica A Statistical Mechanics and its Applications ◽

10.1016/s0378-4371(00)00342-3 ◽

2001 ◽

Vol 290 (1-2) ◽

pp. 131-158 ◽

Cited By ~ 8

Author(s):

Chjan C. Lim

Keyword(s):

Exact Solutions ◽

Vorticity Equation ◽

Rotating Sphere ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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Nonlinear structures with multivalued (q, ψ) relationships—exact solutions of the barotropic vorticity equation on a sphere

Geophysical & Astrophysical Fluid Dynamics ◽

10.1080/03091929308203575 ◽

1993 ◽

Vol 69 (1-4) ◽

pp. 77-94 ◽

Cited By ~ 9

Author(s):

Peili Wu ◽

W. T. M Verkley

Keyword(s):

Exact Solutions ◽

Vorticity Equation ◽

Nonlinear Structures ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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Erratum to “Exact solutions of the energy-enstrophy theory for the barotropic vorticity equation on a sphere”

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2006.10.058 ◽

2007 ◽

Vol 375 (1) ◽

pp. 374

Author(s):

Chjan C. Lim

Keyword(s):

Exact Solutions ◽

Vorticity Equation ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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On a Numerical Method of Integrating the Barotropic Vorticity Equation

Tellus A Dynamic Meteorology and Oceanography ◽

10.3402/tellusa.v4i3.8690 ◽

1952 ◽

Author(s):

Ragnar FjÃ¸rtoft

Keyword(s):

Numerical Method ◽

Vorticity Equation ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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Integration of the barotropic vorticity equation on a spherical geodesic grid

Tellus ◽

10.1111/j.2153-3490.1968.tb00406.x ◽

1968 ◽

Vol 20 (4) ◽

pp. 642-653 ◽

Cited By ~ 81

Author(s):

DAVID L. WILLIAMSON

Keyword(s):

Vorticity Equation ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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A Numerical Method for Finding Form-preserving Free Solutions of the Barotropic Vorticity Equation on a Sphere

Journal of the Atmospheric Sciences ◽

10.1175/1520-0469(1993)050<1488:anmfff>2.0.co;2 ◽

1993 ◽

Vol 50 (11) ◽

pp. 1488-1503 ◽

Cited By ~ 6

Author(s):

W. T. M. Verkley

Keyword(s):

Numerical Method ◽

Vorticity Equation ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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Preferred equilibrium solutions of the barotropic vorticity equation

Theoretical and Applied Climatology ◽

10.1007/s00704-020-03232-1 ◽

2020 ◽

Vol 141 (1-2) ◽

pp. 433-441

Author(s):

YaoKun Li ◽

JiPing Chao

Keyword(s):

Vorticity Equation ◽

Equilibrium Solutions ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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Vorticity and the barotropic vorticity equation

Fluid Dynamics of the Midlatitude Atmosphere ◽

10.1002/9781118526002.ch9 ◽

2014 ◽

pp. 149-175

Keyword(s):

Vorticity Equation ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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On a Numerical Method of Integrating the Barotropic Vorticity Equation

Tellus ◽

10.1111/j.2153-3490.1952.tb01003.x ◽

1952 ◽

Vol 4 (3) ◽

pp. 179-194 ◽

Cited By ~ 76

Author(s):

RAGNAR FJØRTOFT

Keyword(s):

Numerical Method ◽

Vorticity Equation ◽

Barotropic Vorticity Equation ◽

Barotropic Vorticity

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