The non-relativistic limit of the Nordström-Vlasov System
Calogero, Simone ; Lee, Hayoung
Commun. Math. Sci., Tome 2 (2004) no. 2, p. 19-34 / Harvested from Project Euclid
The Nordström-Vlasov system provides an interesting relativistic generalization of the Vlasov-Poisson system in the gravitational case, even though there is no direct physical application. The study of this model will probably lead to a better mathematical understanding of the class of non-linear systems consisting of hyperbolic and transport equations. In this paper it is shown that solutions of the Nordström-Vlasov system converge to solutions of the Vlasov-Poisson system in a pointwise sense as the speed of light tends to infinity, providing a further and rigorous justification of this model as a genuine relativistic generalization of the Vlasov-Poisson system.
Publié le : 2004-03-15
Classification: 
@article{1250880207,
     author = {Calogero, Simone and Lee, Hayoung},
     title = {The non-relativistic limit of the Nordstr\"om-Vlasov System},
     journal = {Commun. Math. Sci.},
     volume = {2},
     number = {2},
     year = {2004},
     pages = { 19-34},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250880207}
}
Calogero, Simone; Lee, Hayoung. The non-relativistic limit of the Nordström-Vlasov System. Commun. Math. Sci., Tome 2 (2004) no. 2, pp.  19-34. http://gdmltest.u-ga.fr/item/1250880207/