Incompressible liquid in thermodynamics, new entropy, and the scenario for the occurrence of turbulence for the Navier-Stokes equation

DOI10.1134/S0001434611110253zbMath1426.76175OpenAlexW2089583560MaRDI QIDQ2435882

V. P. Maslov

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611110253

zbMATH Keywords

entropyideal liquidWiener quantizationvortex coherent structure

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Vortex flows for incompressible inviscid fluids (76B47) Thermodynamics of continua (80A17) Transition to turbulence (76F06)

Cites Work

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• Number-theoretic internal energy for a gas mixture
• Gibbs paradox, liquid phase as an alternative to the Bose condensate, and homogeneous mixtures of new ideal gases
• Rapidly oscillating asymptotic solutions of the Navier-Stokes equations, coherent structures, Fomenko invariants, Kolmogorov spectrum, and flicker noise
• A new approach to phase transitions, thermodynamics, and hydrodynamics
• Mathematical conception of ``phenomenological equilibrium thermodynamics
• Application of the canonical operator to the description of self-focusing soliton-like solutions of the Kadomtsev-Petviashvili equation
• Main axiom of thermodynamics and entropy of number theory: tunnel and ultrasecond quantization
• Tunnel quantization of thermodynamics and critical exponents
• Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices
• Two-timing, variational principles and waves
• Non-standard characteristics in asymptotic problems
• Non-linear dispersion of water waves

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