The understanding of fluid turbulence has considerably progressed in recent years. The
application of the methods of statistical mechanics to the description of the motion of fluid …

The last decades witnessed a renewal of interest in the Burgers equation. Much activities
focused on extensions of the original one-dimensional pressureless model introduced in the …

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 …

Nonlinear differential equations model diverse phenomena but are notoriously difficult to
solve. While there has been extensive previous work on efficient quantum algorithms for …

Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

We discuss the generation and statistics of the density fluctuations in highly compressible
polytropic turbulence, based on a simple model and one-dimensional numerical …

We develop the suggestion that dark matter could be a Bose-Einstein condensate. We
determine the mass-radius relation of a Newtonian self-gravitating Bose-Einstein …

This is the background against which the present Volume has come into being. It has, for
reasons expounded above, much greater breadth than our two earlier Volumes. We feel as …

Wavelet analysis is a branch of applied mathematics that has produced a collection of tools
designed to process certain signals and images. This new book is devoted to describing …