Stochastic Lagrange Approach to Viscous Hydrodynamics
- Авторлар: Gliklikh Y.E.1
-
Мекемелер:
- Voronezh State University
- Шығарылым: Том 67, № 2 (2021): Dedicated to the memory of Professor N. D. Kopachevsky
- Беттер: 285-294
- Бөлім: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/327664
- DOI: https://doi.org/10.22363/2413-3639-2021-67-2-285-294
- ID: 327664
Дәйексөз келтіру
Толық мәтін
Аннотация
The work is a survey of the author’s results with modifications and preliminary information on the use of stochastic analysis on Sobolev groups of diffeomorphisms of a flat n-dimensional torus to describe the motion of viscous fluids (nonrandom ones). The main idea is to replace the covariant derivatives on the groups of diffeomorphisms in the equations introduced by D. Ebin and J. Marsden to describe ideal fluids by the so-called mean derivatives of random processes.
Авторлар туралы
Yu. Gliklikh
Voronezh State University
Хат алмасуға жауапты Автор.
Email: yeg@math.vsu.ru
Voronezh, Russia
Әдебиет тізімі
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