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math.AP2011
A continuous model for turbulent energy cascade
Alexey Cheskidov, Susan Friedlander, Roman Shvydkoy
In this paper we introduce a new PDE model in frequency space for the inertial energy cascade that reproduces the classical scaling laws of Kolmogorov's theory of turbulence. Our p…
math.AP2011★ 1 cited
A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov's dissipation range
Alexey Cheskidov, Roman Shvydkoy
Motivated by Kolmogorov's theory of turbulence we present a unified approach to the regularity problems for the 3D Navier-Stokes and Euler equations. We introduce a dissipation wav…