Symbolic computation and equation on the center manifold: Application to the Couette-Taylor problem (Q1114548)
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scientific article; zbMATH DE number 4083281
| Language | Label | Description | Also known as |
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| English | Symbolic computation and equation on the center manifold: Application to the Couette-Taylor problem |
scientific article; zbMATH DE number 4083281 |
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Symbolic computation and equation on the center manifold: Application to the Couette-Taylor problem (English)
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1988
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A particular case of the transition from the Couette flow to the Taylor cells is mathematically studied using the center manifold theorem. In this degenerate case, the stability of the Taylor vortex flow is calculated using fifth order terms in amplitude. We describe a method for computing these high order terms. Moreover, the numerical values are obtained with a Fortran program generated by a Macsyma program.
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Couette-Taylor problem
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Couette flow
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Taylor cells
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center manifold theorem
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stability
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Taylor vortex flow
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Macsyma program
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