Abstract
We review Streater’s energy-transport models which describe the temporal evolution of the density and temperature of a cloud of gravitating particles, coupled to a mean field Poisson equation. In particular we consider the existence of stationary solutions in a bounded domain with given energy and mass. We discuss the influence of the dimension and geometry of the domain on existence results.
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Biler, P., Dolbeault, J., Esteban, M.J., Markowich, P.A., Nadzieja, T. (2004). Steady States for Streater’s Energy-Transport Models of Self-Gravitating Particles. In: Abdallah, N.B., et al. Transport in Transition Regimes. The IMA Volumes in Mathematics and its Applications, vol 135. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0017-5_2
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DOI: https://doi.org/10.1007/978-1-4613-0017-5_2
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