Computer Simulation

From Kinetic Models to Hydrodynamics: Some Novel Results - download pdf or read online

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By Matteo Colangeli

From Kinetic types to Hydrodynamics serves as an advent to the asymptotic equipment necessary to obtain
hydrodynamic equations from a fundamental description using kinetic conception types and the Boltzmann equation.  The paintings is a survey
of an active examine area, which goals to bridge time and size scales
from the particle-like description inherent in Boltzmann equation theory to a fully validated “continuum” approach typical of macroscopic laws of physics.The author sheds gentle on a brand new method—using invariant manifolds—which addresses a practical equation for the
nonequilibrium single-particle distribution functionality.  This method allows one to discover targeted and thermodynamically constant expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the normal hydrodynamic
limit.  The invariant manifold procedure paves how one can determine a needed bridge
between Boltzmann equation concept and a particle-based concept of
hydrodynamics.  Finally, the author explores the bold and longstanding task
of acquiring hydrodynamic constitutive equations from their kinetic counterparts.​

The paintings is
intended for experts in kinetic theory—or extra in general statistical
mechanics—and will offer a bridge among a actual and mathematical
approach to resolve real-world problems.

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From Kinetic Models to Hydrodynamics: Some Novel Results (SpringerBriefs in Mathematics) by Matteo Colangeli

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