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arXiv · 1705.05905

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

Bernard Ducomet·Sarka Necasova·Milan Pokorny·Maria Angeles Rodriguez - Bellido
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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. 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 for all times less than the maximal life time of the strong solution of the 2-D system when the Froude number is small or to the strong solution of the rotating pure 2-D Navier- Stokes system with radiation.

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Bernard Ducomet, Sarka Necasova, Milan Pokorny, Maria Angeles Rodriguez - Bellido. 2017-05-16. Derivation of the Navier - Stokes - Poisson system with radiation for an accretion disk. https://doi.org/10.1007/s00021-017-0358-x

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