From Kinetic Models to Hydrodynamics

Name: From Kinetic Models to Hydrodynamics
Brand: Springer, Berlin
SKU: 9781461463054
Price: 275.77 RON
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Some Novel Results

Autor: Matteo Colangeli

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Editura: Springer, Berlin

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From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary t...

Informații despre carte

Autor

Matteo Colangeli

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

EAN

9781461463054

ISBN

146146305X

Enbook ID

01428528

Editura

Springer, Berlin

Greutate

177

Dimensiuni

146 x 236 x 9

Descriere completă

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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From Kinetic Models to Hydrodynamics

Some Novel Results

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