Rigorous estimates of small scales in turbulent flows

Peter Constantin; Charles R. Doering; Edriss S. Titi

doi:10.1063/1.531769

Rigorous estimates of small scales in turbulent flows

Peter Constantin, Charles R. Doering, Edriss S. Titi

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We derive rigorous bounds on the length scale of determining local averages (volume elements) for the 3-D Navier-Stokes Equations. These length scale estimates are related to Kolmogorov's notion of a dissipation length scale in turbulent flows.

Original language	English (US)
Pages (from-to)	6152-6156
Number of pages	5
Journal	Journal of Mathematical Physics
Volume	37
Issue number	12
DOIs	https://doi.org/10.1063/1.531769
State	Published - Dec 1996

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.531769

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title = "Rigorous estimates of small scales in turbulent flows",

abstract = "We derive rigorous bounds on the length scale of determining local averages (volume elements) for the 3-D Navier-Stokes Equations. These length scale estimates are related to Kolmogorov's notion of a dissipation length scale in turbulent flows.",

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year = "1996",

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Rigorous estimates of small scales in turbulent flows

Abstract

All Science Journal Classification (ASJC) codes

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