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The Quarterly Journal of Mechanics and Applied Mathematics 1969 22(2):183-209; doi:10.1093/qjmam/22.2.183
© 1969 by Oxford University Press
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BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM

K. KIRCHGÄSSNER and P. SORGER

( Institut für Angewandte Mathematik und Mechanik der DVL Freiburg )

In this paper a constructive method is presented for the calculation of the Taylor vortices as branching solutions of the nonlinear Navier-Stokes boundary-value problem. The method is based upon an abstract version of the theory of Schmidt-Lyapunov. The efficiency of the procedure is tested by comparison of numerical results with various experimental data for the mean torque and the higher harmonies.


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