Kniha From Kinetic Models to Hydrodynamics Matteo Colangeli

From Kinetic Models to Hydrodynamics

Some Novel Results

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 147
From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary t...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2012
Stránek
96
EAN
9781461463054
ISBN
146146305X
Enbook ID
01428528
Vydavatel
Hmotnost
177
Rozměry
146 x 236 x 9

Kompletní popis

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.

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