20 citations · 26 across the 2 of their papers we have counts for
5 papers
Global weak solutions to the Nordström-Vlasov system
Simone Calogero, Gerhard Rein
The Nordström-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 toge…
On classical solutions of the Nordström-Vlasov system
Simone Calogero, Gerhard Rein
The Nordström-Vlasov system describes the dynamics of a self-gravitating ensemble of collisionless particles in the framework of the Nordström scalar theory of gravitation. We prov…
On future geodesic completeness for the Einstein-Vlasov system with hyperbolic symmetry
Gerhard Rein
Spacetimes with collisionless matter evolving from data on a compact Cauchy surface with hyperbolic symmetry are shown to be timelike and null geodesically complete in the expandin…
Reduction and a concentration-compactness principle for energy-Casimir functionals
Gerhard Rein
Energy-Casimir functionals are a useful tool for the construction of steady states and the analysis of their nonlinear stability properties for a variety of conservative systems in…
Existence and nonlinear stability of steady states of the Schrödinger-Poisson system
Peter A. Markowich, Gerhard Rein, Gershon Wolansky
We consider the Schrödinger-Poisson system in the attractive (plasma physics) Coulomb case. Given a steady state from a certain class we prove its nonlinear stability, using an app…