81751

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

On geometry of turbulent flows

ISBN/ISSN: 

0393-0440

DOI: 

10.1016/j.geomphys.2025.105646

Наименование источника: 

  • Journal of Geometry and Physics

Обозначение и номер тома: 

Vol. 217

Город: 

  • Amsterdam

Издательство: 

  • Elsevier B.V.

Год издания: 

2025

Страницы: 

105646 (1-16)
Аннотация
In this paper, we apply the method of geometrization of random vectors [1] to turbulent media, which we understand as random vector fields on base manifolds. This gives rise to various geometric structures on the tangent as well as cotangent bundles. Among these, the most important is the Mahalanobis metric on the tangent bundle, which allows us to obtain all the necessary ingredients for implementing the scheme [2] to the description of flows in turbulent media. As an illustration, we consider the applications to flows of real gases based on Maxwell–Boltzmann statistics.

Библиографическая ссылка: 

Лычагин В.В. On geometry of turbulent flows // Journal of Geometry and Physics. 2025. Vol. 217. С. 105646 (1-16).