The goal of this review paper is to provide the reader with a concise introduction to the
mathematical theory of collision processes in (dilute) gases and plasmas, viewed as a …

Kinetic and hyperbolic equations contain small scales (mean free path/time, Debye length,
relaxation or reaction time, etc.) that lead to various different asymptotic regimes, in which …

Monte Carlo is one of the most versatile and widely used numerical methods. Its
convergence rate, O (N− 1/2), is independent of dimension, which shows Monte Carlo to be …

This book presents methods to study the controllability and the stabilization of nonlinear
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …

In this survey we consider the development and mathematical analysis of numerical
methods for kinetic partial differential equations. Kinetic equations represent a way of …

In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to
control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc …

This paper presents a systematic nonperturbative derivation of a hierarchy of closed systems
of moment equations corresponding to any classical kinetic theory. The first member of the …

Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality
monographs, or collections of works, on the mathematical theory of fluid mechanics, with …

This book unifies all aspects of flight dynamics for the efficient development of aerospace
vehicle simulations. It provides the reader with a complete set of tools to build, program, and …

The Navier-Stokes equations are a set of nonlinear partial differential equations that
describe the fundamental dynamics of fluid motion. They are applied routinely to problems in …