Some differential inequalities for thermohaline convection in bounded containers of arbitrary shape (Q800784)
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scientific article; zbMATH DE number 3878591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some differential inequalities for thermohaline convection in bounded containers of arbitrary shape |
scientific article; zbMATH DE number 3878591 |
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Some differential inequalities for thermohaline convection in bounded containers of arbitrary shape (English)
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1984
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We have used the theory of self adjoint operators to derive a number of useful differential inequalities for thermohaline convection in containers. Variation of critical eigenvalues with boundary conditions, domain size and fluid properties is shown. Exchange of stabilities is assumed in general but is shown to be always true for the case of fluids, which are salted above and heated below. The differential inequalities are useful to obtain first order effects of the various parameters on the critical eigenvalues.
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Fredholm alternative
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Rayleigh number
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self adjoint operators
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Variation of critical eigenvalues
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