rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: From Kinetic Models to Hydrodynamics
    sub title: Some Novel Results
  name:
    name part: Colangeli, Matteo.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 96 p. 21 illus., 9 illus. in color. online resource.
  abstract: From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation. The work is a survey of an active research area, which aims to bridge 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.The author sheds light on a new method—using invariant manifolds—which addresses a functional equation for the nonequilibrium 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 limit. The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particle-based theory of hydrodynamics. Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts. The work is intended for specialists in kinetic theory—or more generally statistical mechanics—and will provide a bridge between a physical and mathematical approach to solve real-world problems.
  table of contents: 1. Introduction -- 2. From the Phase Space to the Boltzmann Equation -- 3. Methods of Reduced Description -- 4. Hydrodynamic Spectrum of Simple Fluids -- 5. Hydrodynamic Fluctuations from the Boltzmann Equation -- 6. 13 Moment Grad System -- 7. Conclusions -- References. .
  note: by Matteo Colangeli.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical physics
  subject:
    topic: Mathematical models
  subject:
    topic: Physics
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Mathematical Modeling and Industrial Mathematics
  subject:
    topic: Statistical Physics, Dynamical Systems and Complexity
  classification: QA401-425
  classification: QC19.2-20.85
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Mathematics
  identifier: 9781461463061
  identifier: http://dx.doi.org/10.1007/978-1-4614-6306-1
  record info:
    record creation date: 130326
    record change date: 20151124021709.0
    record identifier: 978-1-4614-6306-1