Email this article Euler and Navier–Stokes Equations as Self-Consistent Fields
- Authors: Vedenyapin V.V.1,2, Andreeva A.A.3, Vorobyeva V.V.3
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Affiliations:
- Keldysh Institute of Applied Mathematics
- RUDN University
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 97, No 3 (2018)
- Pages: 283-285
- Section: Mathematical Physics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225514
- DOI: https://doi.org/10.1134/S1064562418030171
- ID: 225514
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Abstract
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.
About the authors
V. V. Vedenyapin
Keldysh Institute of Applied Mathematics; RUDN University
Author for correspondence.
Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047; Moscow, 117198
A. A. Andreeva
Moscow Institute of Physics and Technology (State University)
Email: vicveden@yahoo.com
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700
V. V. Vorobyeva
Moscow Institute of Physics and Technology (State University)
Email: vicveden@yahoo.com
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700
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