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KIAM Preprint ą 41, Moscow, 2019
Authors: Vedenyapin V.V., Smirnova N.S.
Euler and Navier–Stokes Equations as Self-Consistent Fields
Abstract:
New kinetic equations are proposed from which the incompressible and compressible 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.
Keywords:
Navier–Stokes equation, Liouville equation, gradient catastrophe
Publication language: russian,  ńňđŕíčö: 20
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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