A bound from below on the temperature for the Navier-Stokes-Fourier system (Q2855119)
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scientific article; zbMATH DE number 6219414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bound from below on the temperature for the Navier-Stokes-Fourier system |
scientific article; zbMATH DE number 6219414 |
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24 October 2013
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compressible Navier-Stokes-Fourier equations
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heat conduction
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temperature bounds
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A bound from below on the temperature for the Navier-Stokes-Fourier system (English)
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The authors give a uniform bound below on the temperature for a variant of the system of compressible Navier-Stokes-Fourier equations. This system forms a mathematical model of the motion of a compressible fluid subject to heat conduction. A class of weak solutions satisfying a localized form of the entropy inequality are identified and a form of the De Giorgi argument bounds of solutions to elliptic equations with bounded measurable coefficients are studied.
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