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physics.flu-dyn2023
Self-similarity and the direct (enstrophy) cascade in two-dimensional fluid turbulence
Mateo Reynoso, Dmitriy Zhigunov, Roman O. Grigoriev
A widely used statistical theory of 2D turbulence developed by Kraichnan, Leith, and Batchelor (KLB) predicts a power-law scaling for the energy, with an integral…
physics.flu-dyn2022★ 10 cited
Exact Coherent Structures in Fully Developed Two-Dimensional Turbulence
Dmitriy Zhigunov, Roman O. Grigoriev
This paper reports several new classes of weakly unstable recurrent solutions of the 2+1-dimensional Euler equation on a square domain with periodic boundary conditions. These solu…
physics.flu-dyn2015
Hawking Radiation and Classical Tunneling
Eugene R. Tracy, Dmitriy Zhigunov
Acoustic waves in fluids undergoing the transition from sub- to supersonic flow satisfy governing equations similar to those for light waves in the immediate vicinity of a black ho…