NASA NTRS · 19860028130
Incipient singularities in the Navier-Stokes equations
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.
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Siggia, E. D., Pumir, A.. 1985-10-21. Incipient singularities in the Navier-Stokes equations. https://ntrs.nasa.gov/citations/19860028130
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