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: Mathematical Models and Methods for Plasma Physics, Volume 1
    sub title: Fluid Models
  name:
    name part: Sentis, Rémi.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 238 p. 16 illus., 11 illus. in color. online resource.
  abstract: This monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics. It focuses on models involving quasi-neutrality approximation, problems related to laser propagation in a plasma, and coupling plasma waves and electromagnetic waves. Applied mathematicians will find a stimulating introduction to the world of plasma physics and a few open problems that are mathematically rich. Physicists who may be overwhelmed by the abundance of models and uncertain of their underlying assumptions will find basic mathematical properties of the related systems of partial differential equations. A planned second volume will be devoted to kinetic models. First and foremost, this book mathematically derives certain common fluid models from more general models. Although some of these derivations may be well known to physicists, it is important to highlight the assumptions underlying the derivations and to realize that some seemingly simple approximations turn out to be more complicated than they look. Such approximations are justified using asymptotic analysis wherever possible. Furthermore, efficient simulations of multi-dimensional models require precise statements of the related systems of partial differential equations along with appropriate boundary conditions. Some mathematical properties of these systems are presented which offer hints to those using numerical methods, although numerics is not the primary focus of the book.
  table of contents: Chapter 1. Introduction. Some Plasma characteristic quantities -- Chapter 2. Quasi-neutrality. Magneto-hydrodynamics -- Chapter 3. Laser propagation. Coupling with ion acoustic waves -- Chapter 4. Langmuir waves and Zakharov equations -- Chapter 5. Coupling electron waves and laser waves -- Chapter 6. Models with several species -- Appendix -- Bibliography -- Index.
  note: by Rémi Sentis.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematical physics
  subject:
    topic: Physics
  subject:
    topic: Plasma (Ionized gases)
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Plasma Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Partial Differential Equations
  classification: QC19.2-20.85
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Modeling and Simulation in Science, Engineering and Technology
  identifier: 9783319038049
  identifier: http://dx.doi.org/10.1007/978-3-319-03804-9
  record info:
    record creation date: 140131
    record change date: 20151031121133.0
    record identifier: 978-3-319-03804-9