26 citations · 57 across the 6 of their papers we have counts for
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Drift towards isotropization during the 3D hydrodynamic turbulence onset
D. S. Agafontsev, A. S. Il'yn, A. V. Kopyev
The incompressible three-dimensional Euler equations develop very thin pancake-like regions of exponentially increasing vorticity. The characteristic thickness of such regions decr…
Compressible vortex structures and their role in the onset of hydrodynamic turbulence
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev +1
We study formation of quasi two-dimensional (thin pancakes) vortex structures in three-dimensional flows, and quasi one-dimensional structures in two-dimensional hydrodynamics. The…
Stability of tangential discontinuity for the vortex pancakes
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
Within the incompressible three-dimensional Euler equations, we study the pancake-like high vorticity regions, which arise during the onset of developed hydrodynamic turbulence. We…
Statistical properties of the velocity field for the 3D hydrodynamic turbulence onset
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
We study the statistical correlation functions for the three-dimensional hydrodynamic turbulence onset when the dynamics is dominated by the pancake-like high-vorticity structures.…
Asymptotic solution for high vorticity regions in incompressible 3D Euler equations
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
Incompressible 3D Euler equations develop high vorticity in very thin pancake-like regions from generic large-scale initial conditions. In this work we propose an exact solution of…
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…