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- W138759875 abstract "New analysis of the scaling structure of a numerical solution consistent with a singularity of the three-dimensional incompressible Euler equations suggests two length scales dividing physical space into three scaling regimes surrounding the position of peak vorticity. Self-similar behavior is identified in the two interior regimes, but not exact self-similarity. The size of the inner regime decreases uniformly in all directions as p = (T — t). The intermediate regime has an outer length scale that decreases as R = (T — t)1/2 with strong deformation on the inner length scale (T — t) and fully participates in the singular dynamics of the inner regime. The vortex structure of the intermediate regime is characterized as a vortex jump on the surface of a blunt cone, elongated in different directions, with the inner regime enclosed by the blunt tip. The outer regime constitutes the rubbish bin of the singular dynamics, and does not participate in the singular dynamics on the time scale remaining till the possible singularity." @default.
- W138759875 created "2016-06-24" @default.
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- W138759875 date "1999-01-01" @default.
- W138759875 modified "2023-09-25" @default.
- W138759875 title "The outer regions in singular Euler" @default.
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- W138759875 doi "https://doi.org/10.1007/978-3-0348-8689-5_5" @default.
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