A global-in-time existence theorem for classical solutions of the Vlasov-Darwin sys-
tem is given under the assumption of smallness of the initial data. Furthermore it is shown that in
case of spherical symmetry the system degenerates to the relativistic Vlasov-Poisson system.
Publié le : 2008-09-15
Classification:
Relativistic Vlasov-Darwin system,
global classical solutions,
collisionless plasma,
35F20,
82D10
@article{1222716954,
author = {Seehafer, Martin},
title = {Global classical solutions of the Vlasov-Darwin system for small initial data},
journal = {Commun. Math. Sci.},
volume = {6},
number = {1},
year = {2008},
pages = { 749-764},
language = {en},
url = {http://dml.mathdoc.fr/item/1222716954}
}
Seehafer, Martin. Global classical solutions of the Vlasov-Darwin system for small initial data. Commun. Math. Sci., Tome 6 (2008) no. 1, pp. 749-764. http://gdmltest.u-ga.fr/item/1222716954/