From Kinetic Models to Hydrodynamics: Some Novel Results

By Matteo Colangeli

​​From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation. The work is a survey of an active research area, which aims to bridge time and length scales from the particle-like description inherent in Boltzmann equation theory to a fully established "continuum" approach typical of macroscopic laws of physics.The author sheds light on a new method--using invariant manifolds--which addresses a functional equation for the nonequilibrium single-particle distribution function. This method allows one to find exact and thermodynamically consistent expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the traditional hydrodynamic limit. The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particle-based theory of hydrodynamics. Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts.​ The work is intended for specialists in kinetic theory--or more generally statistical mechanics--and will provide a bridge between a physical and mathematical approach to solve real-world problems.​

• Format: Paperback
• Language: English
• ISBN: 146146305X
• ISBN13: 9781461463054
• Release Date: March 2013
• Publisher: Springer
• Length: 96 Pages
• Weight: 0.35 lbs.
• Dimensions: 0.3" x 6.0" x 8.9"