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physics.flu-dyn2016★ 20 cited
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…
nlin.SI2016★ 24 cited
Fermi-Pasta-Ulam recurrence and modulation instability
E. A. Kuznetsov
We give a qualitative explanation of the analog of the Fermi-Pasta-Ulam (FPU) recurrence in a one-dimensional focusing nonlinear Schrodinger equation (NLSE). That recurrence can be…