10 citations · 10 across the 2 of their papers we have counts for
2 papers
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…