Open AccessBook
The mathematical theory of non-uniform gases
About:
The article was published on 1939-01-01 and is currently open access. It has received 7518 citations till now. The article focuses on the topics: Mathematical theory & Boltzmann equation.read more
Citations
More filters
Journal ArticleDOI
The Kuramoto model: A simple paradigm for synchronization phenomena
TL;DR: In this paper, a review of the Kuramoto model of coupled phase oscillators is presented, with a rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years.
Journal ArticleDOI
Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield
TL;DR: In this paper, the authors studied the flow of an idealized granular material consisting of uniform smooth, but nelastic, spherical particles using statistical methods analogous to those used in the kinetic theory of gases.
Journal ArticleDOI
Numerical simulations of particulate suspensions via a discretized boltzmann equation: part 1. theoretical foundation
TL;DR: In this article, a general technique for simulating solid-fluid suspensions is described, which combines Newtonian dynamics of the solid particles with a discretized Boltzmann equation for the fluid phase; the many-body hydrodynamic interactions are fully accounted for, both in the creeping flow regime and at higher Reynolds numbers.