Rapidly oscillating asymptotic solutions of the Navier-Stokes equations, coherent structures, Fomenko invariants, Kolmogorov spectrum, and flicker noise

DOI10.1134/S1061920806040042zbMath1115.35100MaRDI QIDQ871787

V. P. Maslov, Andrej I. Shafarevich

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

turbulencecoherent structureMorse functionEuler equation: Kirchhoff conditionsflicker noiseKolmogorov lawKolmogorov scale

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

Asymptotic solutions for linear and nonlinear MHD systems with a rapid jump near a surface. Dynamics of the surface of the jump and evolution of the magnetic field ⋮ Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities ⋮ Geometrical and Asymptotical Properties of Non-Selfadjoint Induction Equation with the Jump of the Velocity Field. Time Evolution and Spatial Structure of the Magnetic Field ⋮ Fomenko invariants in the asymptotic theory of the Navier-Stokes equations ⋮ Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices ⋮ Incompressible liquid in thermodynamics, new entropy, and the scenario for the occurrence of turbulence for the Navier-Stokes equation ⋮ Asymptotic solutions of the Navier-Stokes equations and systems of stretched vortices filling a three-dimensional volume ⋮ Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations ⋮ Threshold levels in economics and time series

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