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New multipliers of the barotropic vorticity equations

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Abstract

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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  1. School of Mathematics, University of the Witwatersrand, Johannesburg, Wits, Johannesburg, 2001, South Africa

    Sameerah Jamal

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This work was supported by the National Research Foundation of South Africa, Grant No. 99279.

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Jamal, S. New multipliers of the barotropic vorticity equations. Anal.Math.Phys. 10, 21 (2020). https://doi.org/10.1007/s13324-020-00365-4

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