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 review studies of the statistics of isotropic turbulence in an incompressible fluid at high
Reynolds numbers using direct numerical simulation (DNS) from the viewpoint of …

Mixing of initially distinct substances plays an important role in our daily lives as well as in
ecological and technological worlds. From the continuum point of view, which we adopt …

In this review article we discuss a number of recent results concerning wild weak solutions of
the incompressible Euler and Navier–Stokes equations. These results build on the …

From a database of direct numerical simulations of homogeneous and isotropic turbulence,
generated in periodic boxes of various sizes, we extract the spherically symmetric part of …

Lessons from hydrodynamic turbulence | Physics Today | AIP Publishing Skip to Main Content
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For any regularity exponent β< 1 2, we construct non-conservative weak solutions to the 3D
incompressible Euler equations in the class C t 0 (H β∩ L 1 (1-2 β)). By interpolation, such …

Experimental and theoretical size distributions resulting from dynamic fragmentation are
briefly surveyed. The power-law character unique to brittle solids is contrasted to fragment …

A large database from direct numerical simulations of isotropic turbulence, including recent
simulations for box sizes up to 40963 and the Taylor–Reynolds number Rλ≈ 1000, is used …

The high-order statistics of fluctuations in velocity gradients in the crossover range from the
inertial to the Kolmogorov and sub-Kolmogorov scales are studied by direct numerical …