Euler and Navier–Stokes Equations as Self-Consistent Fields
Autor: | A. A. Andreeva, V. V. Vorobyeva, Victor Vedenyapin |
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Rok vydání: | 2018 |
Předmět: |
Class (set theory)
General Mathematics 010102 general mathematics Substitution (logic) Mathematical analysis Mathematics::Analysis of PDEs Self consistent 01 natural sciences Physics::Fluid Dynamics 010101 applied mathematics symbols.namesake Kinetic equations Euler's formula symbols Compressibility Gravitational singularity 0101 mathematics Navier–Stokes equations Mathematics |
Zdroj: | Doklady Mathematics. 97:283-285 |
ISSN: | 1531-8362 1064-5624 |
Popis: | 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. |
Databáze: | OpenAIRE |
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