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Field name	Details
Dewey Class	519 (DDC 23)
Title	Mathematical Models and Methods for Plasma Physics, Volume 1 ([Ebook]) : Fluid Models / by Rémi Sentis.
Author	Sentis, Rémi
Other name(s)	SpringerLink (Online service)
Publication	Cham Springer International Publishing 2014.
Physical Details	XII, 238 pages:. 16 illus., 11 illus. in color. : online resource.
ISBN	9783319038049
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-03804-9
Links to Related Works	Subject References: Differential equations, Partial . Mathematical Applications in the Physical Sciences . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Partial differential equations . Plasma Physics . Authors: Sentis, Rémi . Corporate Authors: SpringerLink (Online service) . Series: Modeling and Simulation in Science, Engineering and Technology . Classification: 519 (DDC 23) .

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Mathematical Models and Methods for Plasma Physics, Volume 1: Fluid Models

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