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 …

The last decades witnessed a renewal of interest in the Burgers equation. Much activities
focused on extensions of the original one-dimensional pressureless model introduced in the …

The statistics of velocity differences between pairs of heavy inertial point particles
suspended in an incompressible turbulent flow is studied and found to be extremely …

We report the experimental observation of intermittency in a regime dominated by random
shock waves on the surface of a fluid. We achieved such a nondispersive surface-wave field …

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 scaling and statistical properties of three-dimensional compressible turbulence are
studied using high-resolution numerical simulations and a heuristic model. The two-point …

We study the inertial migration of finite-size neutrally buoyant spherical particles in dilute
and semidilute suspensions in laminar square duct flow. We perform several direct …

The existence of drag reduction by polymer additives, well established for wall-bounded
turbulent flows, is controversial in homogeneous, isotropic turbulence. To settle this …

We study the intermittency properties of the energy and helicity cascades in two 1536 3
direct numerical simulations of helical rotating turbulence. Symmetric and antisymmetric …

We present an introductory overview of several challenging problems in the statistical
characterization of turbulence. We provide examples from fluid turbulence in three and two …