25 citations · 36 across the 5 of their papers we have counts for
5 papers
Inverse cascade anomalies in fourth-order Leith models
Simon Thalabard, Sergey Medvedev, Vladimir Grebenev +1
We analyze a family of fourth-order non-linear diffusion models corresponding to local approximations of 4-wave kinetic equations of weak wave turbulence. We focus on a class of pa…
Numerical analysis of a self-similar turbulent flow in Bose--Einstein condensates
B. V. Semisalov, V. N. Grebenev, S. B. Medvedev +1
We study a self-similar solution of the kinetic equation describing weak wave turbulence in Bose-Einstein condensates. This solution presumably corresponds to an asymptotic behavio…
Steady states in dual-cascade wave turbulence
V. N. Grebenev, S. B. Medvedev, S. V. Nazarenko +1
We study stationary solutions in the differential kinetic equation, which was introduced in for description of a local dual cascade wave turbulence. We give a full classification o…
Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence
S. V. Nazarenko, V. N. Grebenev
The last stage of evolution toward the stationary Kolmogorov spectrum of hydrodynamic turbulence is studied using the Leith model. This evolution is shown to manifest itself as a r…
Invariant Sets and Explicit Solutions to a Third-Order Model for the Shearless Stratified Turbulent Flow
V. N. Grebenev, B. B. Ilyushin
We study dynamics of the shearless stratified turbulent flows. Using the method of differential constraints we find a class of explicit solutions to the problem under consideration…