Multiscale Splitting Method for the Boltzmann-Poisson Equation : Application to the Dynamics of Electrons
Author
Source
International Journal of Differential Equations
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We present a model based on dynamics of electrons in a plasma using a simplified Boltzmann equation coupled with Poisson’s equation.
The motivation arose from simulating active plasma resonance spectroscopy, which is used for plasma diagnostic techniques; see Braithwaite and Franklin (2009), Lapke et al.
(2010), and Oberrath et al.
(2011).
Mathematically, we are interested in designing splitting methods for the model problem.
While the full Boltzmann equation is delicate to solve, we decouple it into a transport and collision part, which are then solved in different ways.
First we reduce it to a simplified transport-collision equation and start to analyse the abstract Cauchy problem using semigroup methods.
Second, we pass to the coupled transport and collision model and apply the splitting ideas, resecting the different discretization schemes.
The results are discussed first with numerical experiments and then we verify the underlying theoretical novelties.
American Psychological Association (APA)
Geiser, Juergen. 2014. Multiscale Splitting Method for the Boltzmann-Poisson Equation : Application to the Dynamics of Electrons. International Journal of Differential Equations،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-452163
Modern Language Association (MLA)
Geiser, Juergen. Multiscale Splitting Method for the Boltzmann-Poisson Equation : Application to the Dynamics of Electrons. International Journal of Differential Equations No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-452163
American Medical Association (AMA)
Geiser, Juergen. Multiscale Splitting Method for the Boltzmann-Poisson Equation : Application to the Dynamics of Electrons. International Journal of Differential Equations. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-452163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452163