Euler and Navier–Stokes Equations as Self-Consistent Fields


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New kinetic equations are proposed from which the incompressible Euler and Navier–Stokes equations are derived by making an exact substitution. A class of exact solutions of the Navier–Stokes equation and the form of singularities for a gradient catastrophe are obtained.

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V. Vedenyapin

Keldysh Institute of Applied Mathematics; RUDN University

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Email: vicveden@yahoo.com
俄罗斯联邦, Moscow, 125047; Moscow, 117198

A. Andreeva

Moscow Institute of Physics and Technology (State University)

Email: vicveden@yahoo.com
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700

V. Vorobyeva

Moscow Institute of Physics and Technology (State University)

Email: vicveden@yahoo.com
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700

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