Fluid Models Sentis, Remi creator Author text sz CH-4055 Basel Secaucus Birkhauser Verlag GmbH Feb. 2014 Springer [Distributor] 2014 monographic eng

electronic

electronic resource

Annotation 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. Scholarly & Professional Birkhauser Verlag GmbH License restrictions may limit access. QC19.2-20.85QC717.6 530.44015118 SRM 9783319038032 3319038036 (Trade Cloth) 10.1007/978-3-319-03804-9 00145491 http://www.columbia.edu/cgi-bin/cul/resolve?clio10805999 http://www.columbia.edu/cgi-bin/cul/resolve?clio10805999 License restrictions may limit access. BIP US 131108 20150408114228.0 10805999