Email this article Dynamics of the two-dimensional ideal incompressible fluid and Casimirs
- Authors: Dymnikov V.P.1,2
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Affiliations:
- Steklov Institute of Mathematics
- Fedorov Institute of Applied Geophysics
- Issue: Vol 52, No 4 (2016)
- Pages: 348-352
- Section: Article
- URL: https://journals.rcsi.science/0001-4338/article/view/148443
- DOI: https://doi.org/10.1134/S0001433816040058
- ID: 148443
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Abstract
Problems are considered in which the role of Casimirs in forming dynamics of the two-dimensional ideal incompressible fluid is basically studied; in particular, the conditions are formulated which arise in the stability problem of two-dimensional flows in the presence of Casimirs. Some general approaches to the construction of difference schemes for solving equations of two-dimensional fluid which possess the given Casimirs are considered.
About the authors
V. P. Dymnikov
Steklov Institute of Mathematics; Fedorov Institute of Applied Geophysics
Author for correspondence.
Email: dymnikov.valentin@yandex.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; ul. Rostokinskaya 9, Moscow, 129128
