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Field name	Details
Dewey Class	530.15
Title	From Kinetic Models to Hydrodynamics ([Ebook]) : Some Novel Results / by Matteo Colangeli.
Author	Colangeli, Matteo
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2013.
Physical Details	X, 96 pages, 21 illus., 9 illus. in color. : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9781461463061
Summary Note	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.:
Contents note	1. Introduction -- 2. From the Phase Space to the Boltzmann Equation -- 3. Methods of Reduced Description -- 4. Hydrodynamic Spectrum of Simple Fluids -- 5. Hydrodynamic Fluctuations from the Boltzmann Equation -- 6.13 Moment Grad System -- 7. Conclusions -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-6306-1
Links to Related Works	Subject References: Complex Systems . Mathematical Applications in the Physical Sciences . Mathematical Methods in Physics . Mathematical Modeling and Industrial Mathematics . Mathematical Physics . Statistical Physics . Statistical Physics, Dynamical Systems and Complexity . Theoretical, Mathematical and Computational Physics . Authors: Colangeli, Matteo . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 530.15 .

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From Kinetic Models to Hydrodynamics: Some Novel Results

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