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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
From Kinetic Models to Hydrodynamics: Some Novel Results

From Kinetic Models to Hydrodynamics: Some Novel Results

Colangeli, Matteo

Paperback

Series: Springerbriefs in Mathematics

General ComputersGeneral MathematicsPhysics

ISBN10: 146146305X
ISBN13: 9781461463054
Publisher: Springer Nature
Published: Mar 25 2013
Pages: 96
Weight: 0.35
Height: 0.30 Width: 6.00 Depth: 8.90
Language: English
​​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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