2018-10-252018-10-252018-06Ducomet, B., Nečasová, Š., Pokorný, M. y Rodríguez Bellido, M.Á. (2018). Derivation of the Navier-Stokes-Poisson system with radiation for an accretion disk. Journal of Mathematical Fluid Mechanics, 20 (2), 697-719.1422-69281422-6952https://hdl.handle.net/11441/79621We study the 3-D compressible barotropic radiation fluid dynamics system describing the motion of the compressible rotating viscous fluid with gravitation and radiation confined to a straight layer Ωǫ = ω × (0, ǫ), where ω is a 2-D domain. We show that weak solutions in the 3-D domain converge to the strong solution of — the rotating 2-D Navier–Stokes–Poisson system with radiation in ω as ǫ → 0 for all times less than the maximal life time of the strong solution of the 2-D system when the Froude number is small (Fr = O( √e)), — the rotating pure 2-D Navier–Stokes system with radiation in ω as ǫ → 0 when F r = O(1).application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Navier-Stokes-Poisson systemRadiationRotationFroude numberAccretion diskWeak solutionThin domainDimension reductionDerivation of the Navier-Stokes-Poisson system with radiation for an accretion diskinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s00021-017-0358-x