Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (6 chapters)
Keywords
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)Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Models and Methods for Plasma Physics, Volume 1
Book Subtitle: Fluid Models
Authors: Rémi Sentis
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-3-319-03804-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-03803-2Published: 13 February 2014
Softcover ISBN: 978-3-319-37682-0Published: 23 August 2016
eBook ISBN: 978-3-319-03804-9Published: 31 January 2014
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XII, 238
Number of Illustrations: 5 b/w illustrations, 11 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Plasma Physics, Mathematical Methods in Physics, Partial Differential Equations