Several simple mathematical models for the turbulent diffusion of a passive scalar field are
developed here with an emphasis on the symbiotic interaction between rigorous …

Much progress has been made on two-dimensional turbulence, these last two decades, but
still, a number of fundamental questions remain unanswered. The objective of the present …

This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

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 …

Translational motion in solution, either diffusion or fluid flow, is at the heart of chemical and
biochemical reactivity. Nuclear Magnetic Resonance (NMR) provides a powerful non …

We present an appraisal of differential-equation models for anomalous diffusion, in which
the time evolution of the mean-square displacement is< r 2 (t)>∼ t γ with γ≠ 1. By …

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

Page 1 NONLINEAR SCIENCE THEORY AND APPLICATIONS Fractals in the physical sciences
HIDEKI TAKAYASU Page 2 1 Page 3 Page 4 Page 5 Page 6 Page 7 NONLINEAR SCIENCE …

In recent years the phenomenon of anomalous diffusion has attracted more and more
attention. One of the main impulses was initiated by de Gennes' idea of the “ant in the …

This study intends to investigate the characteristics of pore structure of air-entrained
concrete at low atmospheric pressure (0.7 P 0= 0.7 atm) and standard atmospheric pressure …