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arXiv · 1606.01054

The rotating Navier- Stokes- Fourier- Poisson system on thin domains

Bernard Ducomet·Matteo Caggio·Sarka Necasova·Milan Pokorny
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Abstract

We consider the compressible Navier - Stokes - Fourier - Poisson system describing the motion of a viscous heat conducting rotating fluid confined to a straight layer $ \Omega_{\epsilon} = \omega \times (0,\epsilon) $, where $\omega$ is a 2-D domain. The aim of this paper is to show that the weak solutions in the 3D domain converge to the strong solution of the 2-D Navier - Stokes - Fourier - Poisson system $\omega$ as $\epsilon \to 0$ on the time interval, where the strong solution exists. We consider two different regimes in dependence on the asymptotic behaviour of the Froude number.

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Bernard Ducomet, Matteo Caggio, Sarka Necasova, Milan Pokorny. 2016-06-03. The rotating Navier- Stokes- Fourier- Poisson system on thin domains. https://arxiv.org/abs/1606.01054

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