Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system
Résumé
The convergence of weak solutions to the compressible Navier-Stokes -Fourier-Poisson system with a friction term is studied in the high friction limit, the pressure law including that corresponding to Fermi-Dirac particles. The limit is shown to be a weak solution of a non-isothermal Smoluchowski-Poisson system with a time-dependent and spatially homogeneous temperature determined by the conservation of the total energy.
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