New multipliers of the barotropic vorticity equations

被引：0
|
作者：
Sameerah Jamal
机构：
[1] University of the Witwatersrand,School of Mathematics
[2] Johannesburg,undefined
[3] Wits,undefined
来源：
Analysis and Mathematical Physics | 2020年 / 10卷
关键词：
Symmetries; Conservation laws; Barotropic velocity equation; 58J70; 76M60; 35G20; 35Q79;
D O I：
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摘要：
The barotropic vorticity equation is a classical model in atmospheric sciences. In this paper, we study the symmetry invariance properties of multipliers (integrating factors) admitted by this equation. The results are classified according to the ratio of the characteristic length scale to the Rossby radius of deformation and the variation of earth’s angular rotation. A plethora of conservation laws can be obtained by studying the interaction between Lie point symmetry generators and multipliers.
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