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physics.flu-dyn2017★ 12 cited
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 …
physics.flu-dyn2017★ 10 cited
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)^{-…