Kolmogorov's Theory of Turbulence and Inviscid Limit of the Navier-Stokes Equations in ℝ 3

Journal article

We are concerned with the inviscid limit of the Navier-Stokes equations to the Euler equations in ℝ 3. We first observe that a pathwise Kolmogorov hypothesis implies the uniform boundedness of the α th-order fractional derivatives of the velocity for some α > 0 in the space variables in L 2, which is independent of the viscosity μ > 0. Then it is shown that this key observation yields the L 2-equicontinuity in the time variable and the uniform bound in L q, for some q > 2, of the vel...

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Authors: Chen, G; Glimm, J

• Journal: Communications in Mathematical Physics
• Volume: 310
• Issue: 1
• Pages: 267-283
• Publication date: 2012-02-01
• DOI: 10.1007/s00220-011-1404-9
• EISSN: 1432-0916
• ISSN: 0010-3616
• Language: English