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Derivation of the Navier-Stokes-Poisson system with radiation for an accretion disk

 

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Opened Access Derivation of the Navier-Stokes-Poisson system with radiation for an accretion disk
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Author: Ducomet, Bernard
Nečasová, Šárka
Pokorný, Milan
Rodríguez Bellido, María Ángeles
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2018-06
Published in: Journal of Mathematical Fluid Mechanics, 20 (2), 697-719.
Document type: Article
Abstract: We 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).
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URI: https://hdl.handle.net/11441/79621

DOI: 10.1007/s00021-017-0358-x

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