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Spontaneously stochastic solutions in one-dimensional inviscid systems
Alexei A. Mailybaev
In this paper, we study the inviscid limit of the Sabra shell model of turbulence, which is considered as a particular case of a viscous conservation law in one space dimension wit…
Inverse energy cascade in nonlocal helical shellmodels of turbulence
Massimo De Pietro, Luca Biferale, Alexei A. Mailybaev
Following the exact decomposition in eigenstates of helicity for the Navier-Stokes equations in Fourier space [F. Waleffe, Phys. Fluids A 4, 350 (1992)] we introduce a modified ver…
Stochastic anomaly and large Reynolds number limit in hydrodynamic turbulence models
A. A. Mailybaev
In this work we address the open problem of high Reynolds number limit in hydrodynamic turbulence, which we modify by considering a vanishing random (instead of deterministic) visc…
Spontaneous stochasticity of velocity in turbulence models
Alexei A. Mailybaev
We analyze the phenomenon of spontaneous stochasticity in fluid dynamics formulated as the nonuniqueness of solutions resulting from viscosity at infinitesimal scales acting throug…
Development of high vorticity structures in incompressible 3D Euler equations
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
We perform the systematic numerical study of high vorticity structures that develop in the 3D incompressible Euler equations from generic large-scale initial conditions. We observe…