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• W2899907010 abstract "A model is developed describing the approach to a finite-time singularity of the Navier-Stokes equations for two interacting vortices. The model is derived from a combination of the Biot-Savart law and an equation describing the evolution of the vortex core cross-sections. A nonlinear dynamical system is derived for the minimum separation parameter $s(tau)$, the curvature $kappa(tau)$, and the radial scale $delta(tau)$ of the vortex cross-section at the points of closest approach, where $tau$ is dimensionless time. The scaling properties of this system are investigated." @default.
• W2899907010 created "2018-11-16" @default.
• W2899907010 creator A5014343463 @default.
• W2899907010 creator A5040367743 @default.
• W2899907010 date "2018-11-08" @default.
• W2899907010 modified "2023-09-27" @default.
• W2899907010 title "Towards a finite-time singularity of the Navier-Stokes equations" @default.
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• W2899907010 hasPublicationYear "2018" @default.
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