Real-space Manifestations of Bottlenecks in Turbulence Spectra
  An energy-spectrum bottleneck, a bump in the turbulence spectrum between the inertial and dissipation ranges, is shown to occur in the non-turbulent, one-dimensional, hyperviscous Burgers equation and found to be the Fourier-space signature of oscillations in the real-space velocity, which are explained by boundary-layer-expansion techniques. Pseudospectral simulations are used to show that such oscillations occur in velocity correlation functions in one- and three-dimensional hyperviscous hydrodynamical equations that display genuine turbulence. 
Uriel Frisch, Samriddhi Sankar Ray, Ganapati Sahoo, Debarghya   Banerjee, and Rahul Pandit
nlin.CD cond-mat.stat-mech physics.flu-dyn