Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

We investigate the behavior of turbulent systems in geometries with one compactified
dimension. A novel phenomenological scenario dominated by the splitting of the turbulent …

Fractal decimation reduces the effective dimensionality D of a flow by keeping only a
(randomly chosen) set of Fourier modes whose number in a ball of radius k is proportional to …

In this paper, we present an overview of concepts and data concerning inverse cascades of
excitation towards scales larger than the forcing scale in a variety of contexts, from two …

A novel investigation of the nature of intermittency in incompressible, homogeneous, and
isotropic turbulence is performed by a numerical study of the Navier-Stokes equations …

Two-dimensional (2D) turbulence features an inverse energy cascade that produces large-
scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We …

The long-time solutions of the Galerkin-truncated three-dimensional, incompressible Euler
equation relax to an absolute equilibrium as a consequence of phase space and kinetic …

We study small-scale and high-frequency turbulent fluctuations in three-dimensional flows
under Fourier-mode reduction. The Navier–Stokes equations are evolved on a restricted set …

In this study, we examine the intriguing connection between turbulence and equilibrium
statistical mechanics. There are several recent works which emphasize this connection …