From Kinetic Models to Hydrodynamics Some Novel Results /

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 l...

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Bibliographic Details
Main Author: Colangeli, Matteo. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Series:SpringerBriefs in Mathematics,
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-6306-1
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505 0 # |a 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. �� �. 
520 # # |a 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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