We are investigating the inviscid limit of the Navier–Stokes equation, and we find previously
unknown anomalous terms in Hamiltonian, Dissipation, and Helicity, which survive this limit …

Simulating fluid dynamics on a quantum computer is intrinsically difficult due to the nonlinear
and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework …

We collect and describe the observed geometrical and dynamical properties of turbulence in
quantum fluids, particularly superfluid helium and atomic condensates for which more …

We develop a quantum representation for Newtonian viscous fluid flows by establishing a
map** between the Navier-Stokes equation (NSE) and the Schrödinger-Pauli equation …

We report an exact unique constant-flux power-law analytical solution of the wave kinetic
equation for the turbulent energy spectrum, E (k)= C 1 ϵ acs/k, of acoustic waves in 2D with …

The understanding of turbulent flows is one of the biggest current challenges in physics, as
no first-principles theory exists to explain their observed spatio-temporal intermittency …

We present an experimental study of the velocity circulation in a quasi-two-dimensional
turbulent flow. We show that the area rule of circulation around simple loops holds in both …

An important idea underlying a plausible dynamical theory of circulation in three-
dimensional turbulence is the so-called area rule, according to which the probability density …

We study the statistics of velocity circulation in two-dimensional classical and quantum
turbulence. We perform numerical simulations of the incompressible Navier-Stokes and the …

We review the progress on the applications of the vortex-surface field (VSF). The VSF
isosurface is a vortex surface consisting of vortex lines. Based on the generalized Helmholtz …