The Geometric Properties of Shallow Water Equation Solutions on a Rotating Sphere

The Geometric Properties of Shallow Water Equation Solutions on a Rotating Sphere Научная публикация

Журнал

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Вых. Данные

Год: 2025, Том: 46, Номер: 9, Страницы: 4343-4355 Страниц : 13 DOI: 10.1134/S1995080225611609

Ключевые слова

shallow water on a sphere, stationary solutions, Gaussian and mean curvature

Авторы

Chupakhin A.P. ^1,2 , Stetsyak E.S. ^1,2

Организации

1	Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090 Russia
2	Novosibirsk State University, Novosibirsk, 630090 Russia

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.

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

Поступила в редакцию:	8 апр. 2025 г.
Принята к публикации:	31 июл. 2025 г.

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