One characteristic trait of space plasmas is the multi-scale dynamics resulting from non-
linear transfers and conversions of various forms of energy. Routinely evidenced in a range …

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 …

The seminal text on fractal geometry for students and researchers: extensively revised and
updated with new material, notes and references that reflect recent directions. Interest in …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

The subject of this paper is the evolution of Brownian particles in disordered environments.
The “Ariadne's clew” we follow is understanding of the general statistical mechanisms which …

Of all words that have some degree of specialized scientific meaning, scale is one of the
most ambiguous and overworked. Webster devotes over half a column to the meaning of the …

The laminar flamelet concept views a turbulent diffusion flame as an ensemble of laminar
diffusion flamelets. Work relevant to the flamelet concept is spread over various fields in the …

In diverse areas of science and technology, including inertial confinement fusion (ICF),
astrophysics, geophysics, and engineering processes, turbulent mixing induced by …

The laminar flamelet concept covers a regime in turbulent combustion where chemistry (as
compared to transport processes) is fast such that it occurs in asymptotically thin layers …

The authors prove that the maximum norm of the vorticity controls the breakdown of smooth
solutions of the 3-D Euler equations. In other words, if a solution of the Euler equations is …