Rigorous estimates of small scales in turbulent flows

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

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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 languageEnglish (US)
Pages (from-to)6152-6156
Number of pages5
JournalJournal of Mathematical Physics
Issue number12
StatePublished - Dec 1996

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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