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Boundary value problems for the stationary Nordström-Vlasov system

Mihai Bostan 1, 2 
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : 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.
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https://hal.inria.fr/hal-00756242
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Submitted on : Thursday, November 22, 2012 - 4:10:07 PM
Last modification on : Thursday, February 3, 2022 - 11:16:30 AM

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

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