Modeling and Simulation in Science, Engineering and Technology

Mathematical Models and Methods for Plasma Physics, Volume 1

Fluid Models

Authors: Sentis, Remi

  • ​Centralizes results that were strewn in different research papers and inaccessible by physicists
  • The derivations of some classical plasma models are explained from a mathematical point of view
  • Rigorous asymptotic analysis tools are used to justify classical physical approximations
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About this book

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.

Reviews

From the book reviews:

“This work is an important bridge between mathematical rigor and practical application, useful for research and simulation experts needing to reevaluate their PDE analyses and assumptions for complex plasma systems. Applied mathematicians will also find this work to be a stimulating introduction to the riches of plasma physics, including the open problems discussed. Summing Up: Recommended. Graduate students through professionals/practitioners.” (T. Eastman, Choice, Vol. 52 (3), November, 2014)

Table of contents (6 chapters)

  • Introduction: Some Plasma Characteristic Quantities

    Sentis, Rémi

    Pages 1-10

  • Quasi-Neutrality and Magneto-Hydrodynamics

    Sentis, Rémi

    Pages 11-71

  • Laser Propagation: Coupling with Ion Acoustic Waves

    Sentis, Rémi

    Pages 73-134

  • Langmuir Waves and Zakharov Equations

    Sentis, Rémi

    Pages 135-157

  • Coupling Electron Waves and Laser Waves

    Sentis, Rémi

    Pages 159-198

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-03804-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-03803-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-319-37682-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Models and Methods for Plasma Physics, Volume 1
Book Subtitle
Fluid Models
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-3-319-03804-9
DOI
10.1007/978-3-319-03804-9
Hardcover ISBN
978-3-319-03803-2
Softcover ISBN
978-3-319-37682-0
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XII, 238
Number of Illustrations and Tables
5 b/w illustrations, 11 illustrations in colour
Topics