The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system (Q848796)
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scientific article; zbMATH DE number 5674224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system |
scientific article; zbMATH DE number 5674224 |
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The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system (English)
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23 February 2010
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The authors show that the Oberbeck-Boussinesq system can be obtained as an asymptotic limit of the complete Navier-Stokes-Fourier system provided both Mach and Froude numbers tend to zero. The authors study this asymptotic limit in the context of weak variational solutions on a large interval of time and in terms of ill-prepared initial data.
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low Mach number limit
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ill-prepared data
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asymptotic limit
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weak variational solutions
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