03997nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001700172072001700189072002300206082001200229100002900241245012500270264007900395300006500474336002600539337002600565338003600591347002400627490007900651505037300730520177501103650001702878650003602895650002602931650001302957650002802970650001702998650005603015650002003071650003703091650003603128710003403164773002003198776003603218830007903254856004803333912001403381999001903395952007703414978-3-319-03804-9DE-He21320180115171606.0cr nn 008mamaa140131s2014 gw | s |||| 0|eng d a97833190380499978-3-319-03804-97 a10.1007/978-3-319-03804-92doi 4aQC19.2-20.85 7aPBWH2bicssc 7aMAT0030002bisacsh04a5192231 aSentis, Rémi.eauthor.10aMathematical Models and Methods for Plasma Physics, Volume 1h[electronic resource] :bFluid Models /cby Rémi Sentis. 1aCham :bSpringer International Publishing :bImprint: Birkhäuser,c2014. aXII, 238 p. 16 illus., 11 illus. in color.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aModeling and Simulation in Science, Engineering and Technology,x2164-36790 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. 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. 0aMathematics. 0aPartial differential equations. 0aMathematical physics. 0aPhysics. 0aPlasma (Ionized gases).14aMathematics.24aMathematical Applications in the Physical Sciences.24aPlasma Physics.24aMathematical Methods in Physics.24aPartial Differential Equations.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783319038032 0aModeling and Simulation in Science, Engineering and Technology,x2164-367940uhttp://dx.doi.org/10.1007/978-3-319-03804-9 aZDB-2-SMA c371334d371334 001040708EBookaelibbelibd2018-01-15r2018-01-15w2018-01-15yEBOOK