Large-scale multifractality and lack of self-similar decay for Burgers and 3D Navier-Stokes turbulence

Takeshi Matsumoto, Dipankar Roy, Konstantin Khanin +2

We study decaying turbulence in the 1D Burgers equation (Burgulence) and 3D Navier-Stokes (NS) turbulence. We first investigate the decay in time $t$ of the energy $E(t)$ in Burgul…