Geodesic
The canonical form of the rank 2 invariant submodels of evolutionary type in ideal hydrodynamics
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 2, pp. 70-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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The equations of ideal hydrodynamics are considered with the state equation in the form of the pressure represented as the sum of density and entropy functions. Some twelve-dimensional Lie algebra corresponds to the admissible group of transformations. Basing on the two-dimensional subalgebras of the Lie algebra, we construct the rank 2 invariant submodels of canonical form and evolutionary type. The form is refined of the rank 2 invariant submodels of canonical form and evolutionary type for the eleven-dimensional Lie algebra admitted by the gas dynamics equations with the state equation of the general type.
Keywords: equations of ideal hydrodynamics, state equation, representation of invariant solution, invariant submodel, submodel of evolutionary type, canonical form of a submodel.
Mots-clés : admissible subalgebra 
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D. T. Siraeva. The canonical form of the rank 2 invariant submodels of evolutionary type in ideal hydrodynamics. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 2, pp. 70-80. http://geodesic.mathdoc.fr/item/SJIM_2019_22_2_a6/

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