Vortex motions and conformal mappings

  • Jacob Burbea
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 120)


An evolution equation describing vortex motions of invariant curves is established. Exact solutions of this equation, generalizing those of Kirchoff and Moore and Saffman, are found. A non linear dispersion relation extending a classical result of Lamb is demonstrated. Other results are proven.


Euler Equation Stream Function Steady State Solution Boundary Component Real Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Jacob Burbea
    • 1
  1. 1.Department of MathematicsUniversity of PittsburghPittsburgh

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