Global weak solutions to the Nordstr\"om-Vlasov system
Calogero, Simone ; Rein, Gerhard
arXiv, 0309046 / Harvested from arXiv
Text on arXiv
The Nordstr\"om-Vlasov system is a Lorentz invariant model for a self-gravitating collisionless gas. We establish suitable a-priori-bounds on the solutions of this system, which together with energy estimates and the smoothing effect of ``momentum averaging'' yield the existence of global weak solutions to the corresponding initial value problem. In the process we improve the continuation criterion for classical solutions which was derived recently. The weak solutions are shown to preserve mass.
Publié le : 2003-09-18
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  Mathematics - Analysis of PDEs,  35Q75,  83D05 
@article{0309046,
     author = {Calogero, Simone and Rein, Gerhard},
     title = {Global weak solutions to the Nordstr\"om-Vlasov system},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309046}
}

Calogero, Simone; Rein, Gerhard. Global weak solutions to the Nordstr\"om-Vlasov system. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309046/