On the calculation of coupling coefficients in amplitude equations (Q1201035)

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scientific article; zbMATH DE number 97167
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On the calculation of coupling coefficients in amplitude equations
scientific article; zbMATH DE number 97167

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    On the calculation of coupling coefficients in amplitude equations (English)
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    17 January 1993
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    An algebraic approach to the problem of finding coupling coefficients appearing in the amplitude equations is described. The proposed technique provides a simplification of the standard computational procedure and reduces the number of operations. Accurate calculations of the coupling coefficients in rotating pipe flows and in plane Poiseuille (channel) flows are given.
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    amplitude equations
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    Ginzburg-Landau equations
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    coupling coefficients
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    neutral eigenmode
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    linear eigenvalue problem
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    \(Q\)-\(R\) factorization
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    singular value decomposition
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    Navier-Stokes equations
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