000 03899nam a22004815i 4500
001 978-3-319-03804-9
003 DE-He213
005 20140220082514.0
007 cr nn 008mamaa
008 140131s2014 gw | s |||| 0|eng d
020 _a9783319038049
_9978-3-319-03804-9
024 7 _a10.1007/978-3-319-03804-9
_2doi
050 4 _aQC19.2-20.85
072 7 _aPBWH
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aSentis, Rémi.
_eauthor.
245 1 0 _aMathematical Models and Methods for Plasma Physics, Volume 1
_h[electronic resource] :
_bFluid Models /
_cby Rémi Sentis.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2014.
300 _aXII, 238 p. 16 illus., 11 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModeling and Simulation in Science, Engineering and Technology,
_x2164-3679
505 0 _aChapter 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 _aThis 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 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aMathematical Applications in the Physical Sciences.
650 2 4 _aPlasma Physics.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aPartial Differential Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319038032
830 0 _aModeling and Simulation in Science, Engineering and Technology,
_x2164-3679
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-03804-9
912 _aZDB-2-SMA
999 _c93027
_d93027