387 citations · 1.4k across the 33 of their papers we have counts for
8 papers · 1 filter
Vorticity statistics in the direct cascade of two-dimensional turbulence
Gregory Falkovich, Vladimir Lebedev, Mikhail Stepanov
For the steady-state direct cascade of two-dimensional Navier-Stokes turbulence, we derive analytically the probability of strong vorticity fluctuations. The probability density fu…
Magnetic field correlations in a random flow with strong steady shear
I. Kolokolov, V. Lebedev, G. Sizov
We analyze magnetic kinematic dynamo in a conducting fluid where the stationary shear flow is accompanied by relatively weak random velocity fluctuations. The diffusionless and dif…
Symmetries and Interaction coefficients of Kelvin waves
Vladimir V. Lebedev, Victor S. L'vov
We considered symmetry restriction on the interaction coefficients of Kelvin waves and demonstrated that linear in small wave vector asymptotic is not forbidden, as one can expect…
Strong effect of weak diffusion on scalar turbulence at large scales
M. Chertkov, I. Kolokolov, V. Lebedev
Passive scalar turbulence forced steadily is characterized by the velocity correlation scale, , injection scale, , and diffusive scale, . The scales are well separated i…
Decay of scalar turbulence revisited
M. Chertkov, V. Lebedev
We demonstrate that at long times the rate of passive scalar decay in a turbulent, or simply chaotic, flow is dominated by regions (in real space or in inverse space) where mixing…
Spectra of turbulence in dilute polymer solutions
A. Fouxon, V. Lebedev
We investigate turbulence in dilute polymer solutions when polymers are strongly stretched by the flow. We establish power-law spectrum of velocity, which is not associated with a…