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Solutions stationnaires des équations de Vlasov-Poisson. (Stationary solutions of Vlasov-Poisson equations). (French) Zbl 0711.35139
Summary: We establish existence of solutions for the stationary Vlasov-Poisson boundary value problem. These solutions are obtained as limits of solutions of Vlasov-Boltzmann-Poisson equations. The proof is based on a bound for the particles concentration which is obtained thanks upper solutions when the forces are repulsive.
MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics
35A35 Theoretical approximation in context of PDEs
85A40 Cosmology
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