Intermittency and local Reynolds number in Navier-Stokes turbulence: A cross-over scale in the Caffarelli-Kohn-Nirenberg integral

Mark Dowker, Koji Ohkitani
2012 Physics of Fluids  
We study space-time integrals which appear in Caffarelli-Kohn-Nirenberg (CKN) theory for the Navier-Stokes equations analytically and numerically. The key quantity is written in standard notations δ(r) = 1/(νr) Qr |∇u| 2 dx dt, which can be regarded as a local Reynolds number over a
doi:10.1063/1.4767728 fatcat:yq67pkq5hjhs3eozrzduuj45ty