From Kinetic Models to Hydrodynamics (el. knyga) (skaityta knyga) | knygos.lt

Aprašymas

From Kinetic Models to Hydrodynamicsaserves as an introduction to theaasymptotic methods necessaryato obtainhydrodynamic equations from aafundamental description usingakinetic theory models and the Boltzmann equation. aThe work isaa surveyof anaactive research area, awhich aims toabridgeatime and length scalesfrom the particle-like description inherent inaBoltzmann equationatheory to aafully established OC continuumOCO approachatypical of macroscopicalaws of physics.Theaauthorasheds light on a new methodOCousingainvariant manifoldsOCowhich addresses a functional equation for thenonequilibrium single-particle distribution function. aThis methodaallows one to find exact and thermodynamically consistent expressions for: ahydrodynamic modes;atransport coefficient expressions for hydrodynamic modes;aandatransport coefficients of a fluidabeyond the traditional hydrodynamiclimit. aThe invariant manifold method paves the way to establish aaneeded bridgebetween Boltzmann equation theory and a particle-based theory ofhydrodynamics. aFinally, the authoraexploresathe ambitious and longstanding taskof obtaining hydrodynamic constitutive equations from their kinetic counterparts.? The work isintended for specialists in kinetic theoryOCoor more generally statisticalmechanicsOCoand will provide a bridge between a physical and mathematicalapproach to solve real-world problems.?"