Low Mach and Péclet number limit for a model of stellar tachocline and upper radiative zones (Q2826980)
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scientific article; zbMATH DE number 6637315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Low Mach and Péclet number limit for a model of stellar tachocline and upper radiative zones |
scientific article; zbMATH DE number 6637315 |
Statements
11 October 2016
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Navier-Stokes-Fourier-Poisson system
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radiation transfer
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compressible magnetohydrodynamics
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rotation
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stellar radiative zone
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weak solution
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elliptic-parabolic initial boundary value problem
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vanishing Péclet number
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vanishing Mach number
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vanishing Alfvén number
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classical physics
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plasma
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Low Mach and Péclet number limit for a model of stellar tachocline and upper radiative zones (English)
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The authors consider a mathematical model describing the motion of a viscous plasma occupying a bounded 3D domain, when a global rotation of the system occurs. It is also supposed that the fluid exchanges energy with radiation through radiative cooling/heating, but the radiative accelerations are neglected. After defining the concept of weak solution, an existence result for the considered model is presented. Uniform bounds for the weak solutions are derived and a convergence result to a 3D incompressible MHD system with a stationary linear transport equation for transport of radiation intensity is established.
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