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

Author/creator Sentis, Remi Author
Format Electronic
Publication InfoCH-4055 Basel : Birkhauser Verlag GmbH Secaucus : Springer [Distributor]
Description224 p. ill 23.500 x 015.500 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International
Supplemental ContentFull text available from Springer Books
Subjects

SeriesModeling and Simulation in Science, Engineering and Technology Ser.
Summary 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.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9783319038032
ISBN3319038036 (Trade Cloth) Forthcoming
Standard identifier# 9783319038032
Stock number10.1007/978-3-319-03804-9 00145491