100 citations · 177 across the 6 of their papers we have counts for
5 papers
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 of the energy in Burgul…
Singularities of Euler flow? Not out of the blue!
U. Frisch, T. Matsumoto, J. Bec
Does three-dimensional incompressible Euler flow with smooth initial conditions develop a singularity with infinite vorticity after a finite time? This blowup problem is still open…
On multifractality and fractional derivatives
U. Frisch, T. Matsumoto
It is shown phenomenologically that the fractional derivative of order of a multifractal function has a power-law tail in its cumulative prob…
Kicked Burgers Turbulence
J. Bec, U. Frisch, K. Khanin
Burgers turbulence subject to a force , where the 's are ``kicking times'' and the ``impulses'' have arbitrary space dependence, combines…
On the decay of Burgers turbulence
S. N. Gurbatov, S. I. Simdyankin, E. Aurell +2
This work is devoted to the decay ofrandom solutions of the unforced Burgers equation in one dimension in the limit of vanishing viscosity. The initial velocity is homogeneous and…