{"product_id":"9781461463054","title":"SpringerBriefs in Mathematics: Some Novel Results","description":"\u003ch1\u003eSpringerBriefs in Mathematics: Some Novel Results\u003c\/h1\u003e \u003ch2\u003eColangeli, Matteo\u003c\/h2\u003e \u003cp\u003e​​From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain\nhydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation.  The work is a survey\nof an active research area, which aims to bridge time and length scales\nfrom 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\nnonequilibrium 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\nlimit.  The invariant manifold method paves the way to establish a needed bridge\nbetween Boltzmann equation theory and a particle-based theory of\nhydrodynamics.  Finally, the author explores the ambitious and longstanding task\nof obtaining hydrodynamic constitutive equations from their kinetic counterparts.​\n  \n    \n    The work is\nintended for specialists in kinetic theory—or more generally statistical\nmechanics—and will provide a bridge between a physical and mathematical\napproach to solve real-world problems.​\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-03-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781461463054\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4614-6306-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 96\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":45548524601484,"sku":"9781461463054","price":44.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781461463054.jpg?v=1775785759","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781461463054","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}