書目名稱 | From Kinetic Models to Hydrodynamics |
副標(biāo)題 | Some Novel Results |
編輯 | Matteo Colangeli |
視頻video | http://file.papertrans.cn/349/348748/348748.mp4 |
概述 | Bridges 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.Addresses a f |
叢書名稱 | SpringerBriefs in Mathematics |
圖書封面 |  |
描述 | ??From Kinetic Models to Hydrodynamics?serves as an introduction to the?asymptotic methods necessary?to obtainhydrodynamic equations from a?fundamental description using?kinetic theory models and the Boltzmann equation. ?The work is?a surveyof an?active research area,?which aims to?bridge?time and length scalesfrom 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 thenonequilibrium 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 hydrodynamiclimit. ?The invariant manifold method paves the way to establish a?needed bridgebetween Boltzmann equation theory and a particle-based theory ofhydrodynamics. ?Finally, the author?explores?the ambitious and longstanding taskof obtaining hydrodynamic constitutive equations from their kinetic counterparts.?The work isintended for |
出版日期 | Book 2013 |
關(guān)鍵詞 | Boltzmann equation theory; Grad’s moment method system; Navier-Stokes Fourier approximation; hydrodynam |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-6306-1 |
isbn_softcover | 978-1-4614-6305-4 |
isbn_ebook | 978-1-4614-6306-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
issn_series | 2191-8198 |
copyright | Matteo Colangeli 2013 |