• Title/Summary/Keyword: Nordstr$\ddot{o}$m equation

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BOUNDARY VALUE PROBLEMS FOR THE STATIONARY NORDSTRÖM-VLASOV SYSTEM

  • Bostan, Mihai
    • Journal of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.743-766
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    • 2010
  • We study the existence of weak solution for the stationary Nordstr$\ddot{o}$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.