Studies on the motion and decay of a vortex filament

Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 148)


A review of asymptotic analyses for the study of the motion and decay of a vortex filament submerged in a background potential flow is presented. Emphasis is placed on physical intuitions motivating the analyses and on the physical interpretation of the asymptotic solutions. The extension of the analyses to a vortex filament submerged in a rotational flow is outlined.

The asymptotic analyses identify various canonical problems which require numerical solutions of the Navier-Stokes equations. These numerical studies in turn initiate new theoretical analyses.


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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • L. Ting
    • 1
  1. 1.New YorkUSA

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