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From Kinetic Models to Hydrodynamics: Some Novel Results

From Kinetic Models to Hydrodynamics: Some Novel Results (Paperback)

£44.99
Printed to order. Despatched in 2-3 weeks.
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Synopsis

â â 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.â





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.â

Science & MathematicsMathematicsApplied mathematicsMathematical modellingScience & MathematicsPhysicsMathematical physicsScience & MathematicsPhysicsStatistical physics Publisher: Springer-Verlag New York Inc. Publication Date: 25/03/2013 ISBN-13: 9781461463054  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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