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

Summary 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.

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Journal
The Quarterly Journal of Mechanics and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.1093/qjmam/hbaf005
Primary Topic
Geophysics and Gravity Measurements
Type
article
Field-Weighted Citation Impact
0.00

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article

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

N. V. Movchan, I. S. Jones, A. B. Movchan, A. Kandiah
The Quarterly Journal of Mechanics and Applied Mathematics
Geophysics and Gravity Measurements
article

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

N. V. Movchan, I. S. Jones, A. B. Movchan, A. Kandiah
article en

Abstract

Summary 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.

The Quarterly Journal of Mechanics and Applied MathematicsVol. 78(2)
University of Liverpool (GB)
Engineering and Physical Sciences Research Council
Openalex Percentile: Top 85%
Geophysics and Gravity Measurements
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