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