Boundary value problems for the stationary Nordström-Vlasov system

Mihai Bostan (1, 2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 CALVI - Scientific computation and visualization

We study the existence of weak solution for the stationary Nordström-Vlasov equations in a bounded domain. The proof follows by fixed point method. The asymptotic behavior for large light speed is analyzed as well. We justify the convergence towards the stationary Vlasov-Poisson model for stellar dynamics.

Domaines: Automatique

Mihai Bostan. Boundary value problems for the stationary Nordström-Vlasov system. Journal of the Korean Mathematical Society, 2010, 47 (4), pp.743-766. ⟨10.4134/JKMS.2010.47.4.743⟩. ⟨hal-00756242⟩