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

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 f...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Sentis, Rémi (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
Σειρά:Modeling and Simulation in Science, Engineering and Technology,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Sentis, Rémi.  |e author. 
245 1 0 |a Mathematical Models and Methods for Plasma Physics, Volume 1  |h [electronic resource] :  |b Fluid Models /  |c by Rémi Sentis. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2014. 
300 |a XII, 238 p. 16 illus., 11 illus. in color.  |b online resource. 
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337 |a computer  |b c  |2 rdamedia 
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490 1 |a Modeling and Simulation in Science, Engineering and Technology,  |x 2164-3679 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Partial differential equations. 
650 0 |a Mathematical physics. 
650 0 |a Physics. 
650 0 |a Plasma (Ionized gases). 
650 1 4 |a Mathematics. 
650 2 4 |a Mathematical Applications in the Physical Sciences. 
650 2 4 |a Plasma Physics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Partial Differential Equations. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319038032 
830 0 |a Modeling and Simulation in Science, Engineering and Technology,  |x 2164-3679 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-03804-9  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)