LEADER 04838nam 22006975 450 001 9910300155603321 005 20200706171136.0 010 $a3-319-03804-4 024 7 $a10.1007/978-3-319-03804-9 035 $a(CKB)3710000000085776 035 $a(SSID)ssj0001178762 035 $a(PQKBManifestationID)11707381 035 $a(PQKBTitleCode)TC0001178762 035 $a(PQKBWorkID)11169523 035 $a(PQKB)10092790 035 $a(MiAaPQ)EBC1698130 035 $a(DE-He213)978-3-319-03804-9 035 $a(PPN)176108491 035 $a(EXLCZ)993710000000085776 100 $a20140131d2014 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Models and Methods for Plasma Physics, Volume 1 $eFluid Models /$fby Rémi Sentis 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (246 pages) $cillustrations 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-03803-6 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics. It focuses on models involving quasi-neutrality approximation, problems related to laser propagation in a plasma, and coupling plasma waves and electromagnetic waves. Applied mathematicians will find a stimulating introduction to the world of plasma physics and a few open problems that are mathematically rich. Physicists who may be overwhelmed by the abundance of models and uncertain of their underlying assumptions will find basic mathematical properties of the related systems of partial differential equations. A planned second volume will be devoted to kinetic models.                                                                                                                                                        First and foremost, this book mathematically derives certain common fluid models from more general models. Although some of these derivations may be well known to physicists, it is important to highlight the assumptions underlying the derivations and to realize that some seemingly simple approximations turn out to be more complicated than they look. Such approximations are justified using asymptotic analysis wherever possible. Furthermore, efficient simulations of multi-dimensional models require precise statements of the related systems of partial differential equations along with appropriate boundary conditions. Some mathematical properties of these systems are presented which offer hints to those using numerical methods, although numerics is not the primary focus of the book. 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 606 $aMathematical physics 606 $aPlasma (Ionized gases) 606 $aPhysics 606 $aDifferential equations, Partial 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aPlasma Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P24040 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aMathematical physics. 615 0$aPlasma (Ionized gases) 615 0$aPhysics. 615 0$aDifferential equations, Partial. 615 14$aMathematical Applications in the Physical Sciences. 615 24$aPlasma Physics. 615 24$aMathematical Methods in Physics. 615 24$aPartial Differential Equations. 676 $a530.440724 700 $aSentis$b Rémi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0421971 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300155603321 996 $aMathematical Models and Methods for Plasma Physics, Volume 1$92529846 997 $aUNINA