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Carnegie Mellon NSF logoCenter for Nonlinear Analysis
Alexey Cheskidov
Afilliation: Department of Math., Stats., and Comp. Sci., University of Illinois at Chicago

Title: A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov's dissipation range

Abstract: Motivated by Kolmogorov's theory of turbulence we present a unifed approach to the regularity problems for the 3D Navier-Stokes and Euler equations. In particular, we present a new regularity criterion in terms of the intermittency parameter representing the dimension of a dissipation set. This is a joint work with R. Shvydkoy.