Dispersion and asymmetry of chiral gravitational waves in gyroscopic mechanical systems. Part 2: Continuum asymptotic models in equatorial and polar regions

Kandiah, A, Jones, IS ORCID: 0000-0002-5226-0053, Movchan, NV and Movchan, AB (2025) Dispersion and asymmetry of chiral gravitational waves in gyroscopic mechanical systems. Part 2: Continuum asymptotic models in equatorial and polar regions. Quarterly Journal of Mechanics and Applied Mathematics, 78 (2). ISSN 0033-5614

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Abstract

The effect of the Coriolis force is demonstrated for chiral continuum models describing waves in the equatorial region and the polar regions on a rotating sphere. Novel asymptotic features of equatorial waves are presented in this paper. We show that the shape of a ridge of a polar vortex can be approximated by the governing equations of a gyropendulum. Theoretical deductions are accompanied by illustrative examples.

Item Type:	Article
Uncontrolled Keywords:	4012 Fluid Mechanics and Thermal Engineering; 49 Mathematical Sciences; 4901 Applied Mathematics; 40 Engineering; 0102 Applied Mathematics; 0905 Civil Engineering; 0913 Mechanical Engineering; Applied Mathematics; 4012 Fluid mechanics and thermal engineering; 4901 Applied mathematics
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Engineering
Publisher:	Oxford University Press (OUP)
Date of acceptance:	6 April 2025
Date of first compliant Open Access:	20 August 2025
Date Deposited:	20 Aug 2025 10:45
Last Modified:	20 Aug 2025 11:00
DOI or ID number:	10.1093/qjmam/hbaf005
URI:	https://researchonline.ljmu.ac.uk/id/eprint/26957

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