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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2010; 47(4): 743-766

Printed July 1, 2010

https://doi.org/10.4134/JKMS.2010.47.4.743

Copyright © The Korean Mathematical Society.

Boundary value problems for the stationary Nordstr{\"o}m-Vlasov system

Mihai Bostan

Universit\'e de Franche-Comt\'e

Abstract

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We study the existence of weak solution for the stationary Nordstr{\"o}m-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.

Keywords: Nordstr{\"o}m equation, Vlasov equation, Poisson equation, weak/ mild solutions

MSC numbers: 35B35, 35A05, 35B45

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