| 书目名称 | From Kinetic Models to Hydrodynamics |
| 副标题 | Some Novel Results |
| 编辑 | Matteo Colangeli |
| 视频video | |
| 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 |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 17:07:36
