This book explains the quantitative reasoning required by the fractional calculus applied to
complex physical, social, and biological phenomena. Fractional calculus is inextricably …

We study the generation of 2D turbulence in Faraday waves by investigating the creation of
spatially periodic vortices in this system. Measurements that couple a diffusing light imaging …

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 …

Formation of bacterial biofilms on solid surfaces within a fluid starts when bacteria attach to
the substrate. Understanding environmental factors affecting the attachment and the early …

Calanoid copepods represent a major component of the plankton community. These small
animals reside in constantly flowing environments. Given the fundamental role of behaviour …

This paper presents a review of experiments performed in three-dimensional flows that show
behaviour associated with two-dimensional turbulence. Experiments reveal the presence of …

Forced two-dimensional turbulence lives on the balance between the energy input and two
dissipative mechanisms, viscosity and linear friction, resulting in a double cascade of energy …

We define two new classes of stochastic processes, called tempered fractional Lévy process
of the first and second kinds (TFLP and TFLP II, respectively). TFLP and TFLP II make up …

We report an abrupt change in the diffusive transport of inertial objects in wave-driven
turbulence as a function of the object size. In these non-equilibrium two-dimensional flows …

Single-particle dispersion statistics in compressible box turbulence are studied using direct
numerical simulation. Focus is placed on the detailed discussion of effects of the particle …