Dynamics of the two-dimensional ideal incompressible fluid and Casimirs


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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.

Sobre autores

V. Dymnikov

Steklov Institute of Mathematics; Fedorov Institute of Applied Geophysics

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Email: dymnikov.valentin@yandex.ru
Rússia, ul. Gubkina 8, Moscow, 119991; ul. Rostokinskaya 9, Moscow, 129128

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