Труды сотрудников ИВМ СО РАН

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Найдено документов в текущей БД: 2

    Групповая классификация уравнений движения двумерного слоя жидкости
[Текст] : труды / Д.А. Краснова // Труды математического центра им. Н.И. Лобачевского. - Казань : Казанское математическое общество, 2011. - Т. 44. - С. 184-186



    Group analysis of Three-dimensional equations of an ideal fluid in terms of trajectories and weber potential
[] / D. A. Krasnova // J. Sib. Fed. Univ. Math. Phys. - 2014. - Vol. 7, Is. 1. - P58-67 . - ISSN 1997-1397

Кл.слова (ненормированные):
Defining equa-tions -- Equations of an ideal fluid -- Equivalent transformation -- Lagrangian coordinates

Аннотация: Lie group analysis of equations of an ideal fluid written in variables of trajectories and Weber's potential was conducted. It was shown that the use of volume conserving arbitrary Lagrangian coordinates is in fact an equivalent transformation for the equations. The defining Lie algebra equations for the initial velocity distribution were obtained. The basic Lie group and its extensions were found. © Siberian Federal University. All rights reserved.

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Держатели документа:
Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Krasnova, D.A.; Краснова Д.А.