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Eigenvalue solution for the self similar Birkhoff—Rott equation.

  • Sergio Rica
Conference paper
Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 9)

Abstract

This paper adress to the equation \( (v - \omega {\partial _\omega })\bar \varphi (\omega ) = \frac{1}{{2\pi i}}P\int_0^\infty {\frac{{d\omega '}}{{\bar \varphi (\omega ) - \bar \varphi (\omega ')}}} \), in particular I will discuss solutions depending on the value of v. This equation is usefull for the study of the selfsimilar rolling-up of a semi-infinite vortex sheet.

Keywords

Vortex Sheet Finite Time Singularity Maclaurin Formula Eigenvalue Solution Dilatation Invariance 
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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References

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Sergio Rica
    • 1
    • 2
  1. 1.Departamento de Física, FCFMUniversidad de ChileSantiagoChile
  2. 2.Laboratoire de Physique Statistique de l’Ecole Normale SupérieureParis Cedex 05France

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