A selection principle for Bénard-type convection (Q1080729)
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scientific article; zbMATH DE number 3968140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A selection principle for Bénard-type convection |
scientific article; zbMATH DE number 3968140 |
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A selection principle for Bénard-type convection (English)
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1985
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The Bénard convection problem is studied, the main point being the formulation of a selection principle used to explain why in a certain range of problem parameters hexagonal cells are not probable to arise. A variational dissipation functional is defined which attains its minimum on the steady state solutions of the Boussinesq problem subjected to one additional constraint. It is shown that this approach yields stable subcritical solutions of the generalized Boussinesq problem.
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Bénard convection problem
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selection principle
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hexagonal cells
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variational dissipation functional
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steady state solutions
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Boussinesq problem
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constraint
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stable subcritical solutions
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generalized Boussinesq problem
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0.90939915
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0.8667102
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0.8614675
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0.86059415
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0.8593829
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0.8573566
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0.8543391
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