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	Título: From Kinetic Models To Hydrodynamics
	Autor: Colangeli, Matteo	Precio: $821.96
	Editorial: Springer Verlag	Año: 2013
	Tema: Matematicas, Fisica	Edición: 1ª
	Sinopsis	ISBN: 9781461463054
	Bridges 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 Addresses a functional equation for the nonequilibrium single-particle distribution function ??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.? Content Level » Research Keywords » Boltzmann equation theory - Grad's moment method system - Navier-Stokes Fourier approximation - hydrodynamic equations, modes, fluctuations - kinetic theory models - the invariant manifold method Related subjects » Complexity - Mathematics - Theoretical, Mathematical & Computational Physics

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