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The role of periodic solutions in the Falkner-Skan problem for λ>0

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Summary

The Falkner-Skan equation \(f''' + ff'' + \lambda (1 - f'^2 ) = 0\) and those being periodic. In both cases, numerical evidence is given for a rich structure of multiple solutions. Branching occurs for λ=1,2,3,.... All solutions can be characterized by means of a special subset of periodic solutions.

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Authors and Affiliations

  1. Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    E. F. F. Botta & F. J. Hut

  2. National Aerospace Laboratory, NLR, P.O. Box 90502, 1006 BM, Amsterdam, The Netherlands

    A. E. P. Veldman

Authors
  1. E. F. F. Botta
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  2. F. J. Hut
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  3. A. E. P. Veldman
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Botta, E.F.F., Hut, F.J. & Veldman, A.E.P. The role of periodic solutions in the Falkner-Skan problem for λ>0. J Eng Math 20, 81–93 (1986). https://doi.org/10.1007/BF00039325

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  • DOI: https://doi.org/10.1007/BF00039325

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