TY - BOOK
AU - Sentis,Rémi
ED - SpringerLink (Online service)
TI - Mathematical Models and Methods for Plasma Physics, Volume 1: Fluid Models
T2 - Modeling and Simulation in Science, Engineering and Technology,
SN - 9783319038049
AV - QC19.2-20.85
U1 - 519 23
PY - 2014///
CY - Cham
PB - Springer International Publishing, Imprint: Birkhäuser
KW - Mathematics
KW - Partial differential equations
KW - Mathematical physics
KW - Physics
KW - Plasma (Ionized gases)
KW - Mathematical Applications in the Physical Sciences
KW - Plasma Physics
KW - Mathematical Methods in Physics
KW - Partial Differential Equations
N1 - 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
N2 - 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
UR - http://dx.doi.org/10.1007/978-3-319-03804-9
ER -