The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Active fluids exhibit spontaneous flows with complex spatiotemporal structure, which have
been observed in bacterial suspensions, sperm cells, cytoskeletal suspensions, self …

Numerical simulation of fluids plays an essential role in modeling many physical
phenomena, such as weather, climate, aerodynamics, and plasma physics. Fluids are well …

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 …

In recent years, stylized forms of the Boltzmann equation, now going by the name of" Lattice
Boltzmann equation"(LBE), have emerged, which relinquish most mathematical complexities …

The use of fractal concepts in understanding various growth phenomena, such as molecular
beam epitaxy (MBE) or fluid flow in porous media, is increasingly important these days. This …

This book concerns the use of concepts from statistical physics in the description of financial
systems. The authors illustrate the scaling concepts used in probability theory, critical …

The atmosphere and ocean are two of the most important components of the climate system,
and fluid dynamics is central to our understanding of both. This book provides a unified and …

The numerical solution of partial differential equations (PDEs) is challenging because of the
need to resolve spatiotemporal features over wide length-and timescales. Often, it is …

▪ Abstract We survey the newly developed Hilbert spectral analysis method and its
applications to Stokes waves, nonlinear wave evolution processes, the spectral form of the …