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Vortex Dynamics and Singularities in the 3-D Euler Equations

  • Alain Pumir
  • Eric D. Siggia
Part of the NATO ASI Series book series (NSSB, volume 237)

Abstract

The serious study of singularities in the equations of three dimensional hydrodynamics goes back at least to 1934, and a proof still has not been given that solutions of the Navier-Stokes equations remain smooth.1 Far less is known rigorously about solutions to the Euler equations. Although on physical grounds one might expect a singularity here, the numerical evidence is unpersuasive.

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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Alain Pumir
    • 1
    • 2
  • Eric D. Siggia
    • 1
    • 3
  1. 1.Laboratoire de Physique StatistiqueEcole Normale SupérieureParis CedexFrance
  2. 2.SPTCEN SaclayGif sur YvetteFrance
  3. 3.LASSPCornell UniversityIthacaUSA

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