Global existence of solutions of the Nordström-Vlasov system in two space 
dimensions

Lee, Hayoung

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Global existence of solutions of the Nordström-Vlasov system in two space dimensions

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Lee, Hayoung
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Lee, H. (2005). Global existence of solutions of the Nordström-Vlasov system in two space dimensions. Communications in Partial Differential Equations, 30, 663-687.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4E53-0

Abstract

The dynamics of a self-gravitating ensemble of collisionless particles is modeled by the Nordström-Vlasov system in the framework of the Nordström scalar theory of gravitation. For this system in two space dimensions, integral representations of the first order derivatives of the field are derived. Using these representations we show global existence of smooth solutions for large data. Errata in Vol. 30 Iss. 8 (2005) 1261-1262