Euler and Navier-Stokes equations as self-consistent fields

DOI10.1134/S1064562418030171zbMath1442.76048OpenAlexW2884339083MaRDI QIDQ1673713

V. V. Vedenyapin, Anna A. Andreeva, Vasilisa V. Vorobyeva

Publication date: 13 September 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418030171

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Euler equations (35Q31)

Cites Work

• Derivation and classification of Vlasov-type and magnetohydrodynamics equations: Lagrange identity and Godunov's form
• Time averages and Boltzmann extremals
• The Liouville equation, the hydrodynamic substitution, and the Hamilton-Jacobi equation
• On derivation and classification of Vlasov type equations and equations of magnetohydrodynamics. The Lagrange identity, the Godunov form, and critical mass
• Vorticity and Incompressible Flow
• Vlasov-Poisson equations for a two-component plasma in a homogeneous magnetic field
• Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model
• Entropy in the sense of Boltzmann and Poincaré
• Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences

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