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 …

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

The detailed understanding of the intricate dynamics of quantum fluids, in particular in the
rapidly growing subfield of quantum turbulence which elucidates the evolution of a vortex …

Invariance properties of physical systems govern their behaviour: energy conservation in
turbulence drives a wide distribution of energy among modes, as observed in geophysical or …

The one-dimensional Galerkin-truncated Burgers equation, with both dissipation and noise
terms included, is studied using spectral methods. When the truncation-scale Reynolds …

The statistical equilibria of the (conservative) dynamics of the Gross-Pitaevskii equation
(GPE) with a finite range of spatial Fourier modes are characterized using a new algorithm …

Spectral methods yield numerical solutions of the Galerkin-truncated versions of nonlinear
partial differential equations (PDEs) involved especially in fluid dynamics. In the presence of …

We present a systematic analysis of statistical properties of turbulent current and vorticity
structures at a given time using cluster analysis. The data stem from numerical simulations of …

We study the universal nonstationary evolution of wave turbulence (WT) in Bose-Einstein
condensates (BECs). Their temporal evolution can exhibit different kinds of self-similar …

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 …