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Development of high vorticity structures and geometrical properties of the vortex line representation
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
The incompressible three-dimensional Euler equations develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling …
Explosive ripple instability due to incipient wave breaking
Alexei A. Mailybaev, Andre Nachbin
Considering two-dimensional potential ideal flow with free surface and finite depth, we study the dynamics of small-amplitude and short-wavelength wavetrains propagating on the bac…
Development of high vorticity in incompressible 3D Euler equations: influence of initial conditions
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling $ω_{\max}(t)\propto\ell(t)^{-…
Optimal subgrid scheme for shell models of turbulence
Luca Biferale, Alexei A. Mailybaev, Giorgio Parisi
We discuss a theoretical framework to define an optimal sub-grid closure for shell models of turbulence. The closure is based on the ansatz that consecutive shell multipliers are s…