On the nonlinear stability of a fluid layer of a mixture heated and salted from below (Q1337991)
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scientific article; zbMATH DE number 687684
| Language | Label | Description | Also known as |
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| English | On the nonlinear stability of a fluid layer of a mixture heated and salted from below |
scientific article; zbMATH DE number 687684 |
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On the nonlinear stability of a fluid layer of a mixture heated and salted from below (English)
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14 November 1994
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The nonlinear stability of the motionless state of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme, is studied, in the stress-free boundary case. A stabilizing effect of gradient of solute on thermal convection is shown, and a globally nonlinear exponential stability theorem is proved. The stability of plane parallel convective flows (plane Couette and Poiseuille flows with linear temperature and concentration profiles) is also studied. Stability conditions independent of Reynolds number are found.
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Oberbeck-Boussinesq scheme
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stress-free boundary
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globally nonlinear exponential stability theorem
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Couette and Poiseuille flows
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