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Symmetries and conservation laws of Navier-Stokes equations. (English) Zbl 0682.35086

By direct calculations it is proved that the algebra of all symmetries of Navier-Stokes equations consists only of the contact symmetries. It is also proved that the space of all conservation laws of these equations is generated by a “generalised impulse”, the impulse moment and the quantity of substance conservation laws.
Reviewer: V.N.Gusyatnikova

MSC:

35Q30 Navier-Stokes equations
35Q99 Partial differential equations of mathematical physics and other areas of application
35A30 Geometric theory, characteristics, transformations in context of PDEs
35L65 Hyperbolic conservation laws

Keywords:

symmetries
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References:

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