Incipient singularities in the Navier-Stokes equations
- 21 October 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 55 (17), 1749-1752
- https://doi.org/10.1103/physrevlett.55.1749
Abstract
Infinite pointwise stretching in a finite time for general initial conditions is found in a simulation of the Biot-Savart equation for a slender vortex tube in three dimensions. Viscosity is ineffective in limiting the divergence in the vorticity as long as it remains concentrated in tubes. Stability has not been shown.Keywords
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