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Scaling of a Singularity of Euler

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Part of the book series: NATO ASI Series ((ASIC,volume 404))

Abstract

Self-similar scaling in the collapse of perturbed anti-parallel vortex tubes towards a singularity of the three-dimensional, incompressible Euler equations is shown. Histograms of the normalized β-strain have a sharp peak at a positive value of about 0.4.

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References

  • R.M. Kerr, Evidence for a singularity of the three dimensional, incompressible Euler equa- tions. submitted to Phys. Fluids (1992).

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© 1993 Springer Science+Business Media Dordrecht

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Kerr, R.M. (1993). Scaling of a Singularity of Euler. In: Caflisch, R.E., Papanicolaou, G.C. (eds) Singularities in Fluids, Plasmas and Optics. NATO ASI Series, vol 404. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2022-7_9

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  • DOI: https://doi.org/10.1007/978-94-011-2022-7_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4894-1

  • Online ISBN: 978-94-011-2022-7

  • eBook Packages: Springer Book Archive

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