The Geometric Properties of Shallow Water Equation Solutions on a Rotating Sphere Full article
| Journal |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2025, Volume: 46, Number: 9, Pages: 4343-4355 Pages count : 13 DOI: 10.1134/S1995080225611609 | ||||
| Tags | shallow water on a sphere, stationary solutions, Gaussian and mean curvature | ||||
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0009 |
Abstract:
This paper investigates the shallow water model on a rotating attracting sphere, which describes large-scale motions of gas and liquid on the surface of solid planets. We provide a description of the geometric characteristics of simple stationary waves obtained within this model.
For two types of stationary wave solutions, an analysis of the curvature of the continuous medium’s profile is performed. Solutions with variable curvature profiles are shown to exist.
Cite:
Chupakhin A.P.
, Stetsyak E.S.
The Geometric Properties of Shallow Water Equation Solutions on a Rotating Sphere
Lobachevskii Journal of Mathematics. 2025. Т.46. №9. С.4343-4355. DOI: 10.1134/S1995080225611609 WOS
The Geometric Properties of Shallow Water Equation Solutions on a Rotating Sphere
Lobachevskii Journal of Mathematics. 2025. Т.46. №9. С.4343-4355. DOI: 10.1134/S1995080225611609 WOS
Dates:
| Submitted: | Apr 8, 2025 |
| Accepted: | Jul 31, 2025 |
Identifiers:
| Web of science: | WOS:001659047600022 |
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