Euler and Navier–Stokes Equations as Self-Consistent Fields

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. © 2018, Pleiades Publishing, Ltd.

Authors
Vedenyapin V.V. 1, 2 , Andreeva A.A.3 , Vorobyeva V.V.3
Journal
Doklady Mathematics
Number of issue
3
Language
English
Pages
283-285
Status
Published
Link
External link
DOI
10.1134/S1064562418030171
Volume
97
Year
2018
Organizations
  • 1 Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047, Russian Federation
  • 2 RUDN University, Moscow, 117198, Russian Federation
  • 3 Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141700, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6689/
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