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.
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Original Russian Text © V.P. Dymnikov, 2016, published in Izvestiya Rossiiskoi Akademii Nauk, Fizika Atmosfery i Okeana, 2016, Vol. 52, No. 4, pp. 396–401.
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Dymnikov, V.P. Dynamics of the two-dimensional ideal incompressible fluid and Casimirs. Izv. Atmos. Ocean. Phys. 52, 348–352 (2016). https://doi.org/10.1134/S0001433816040058
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DOI: https://doi.org/10.1134/S0001433816040058