Back to Search
Start Over
THE VLASOV–POISSON EQUATIONS AS THE SEMICLASSICAL LIMIT OF THE SCHRÖDINGER–POISSON EQUATIONS:: A NUMERICAL STUDY.
- Source :
-
Journal of Hyperbolic Differential Equations . Sep2008, Vol. 5 Issue 3, p569-587. 19p. 2 Charts, 8 Graphs. - Publication Year :
- 2008
-
Abstract
- In this paper, we numerically study the semiclassical limit of the Schrödinger–Poisson equations as a selection principle for the weak solution of the Vlasov–Poisson in one space dimension. Our numerical results show that this limit gives the weak solution that agrees with the zero diffusion limit of the Fokker–Planck equation. We also numerically justify the multivalued solution given by a moment system of the Vlasov–Poisson equations as the semiclassical limit of the Schrödinger–Poisson equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198916
- Volume :
- 5
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Hyperbolic Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 37700402
- Full Text :
- https://doi.org/10.1142/S021989160800160X