An exact axisymmetric solution of the vortex equations shows that internal vertical wind shear induces a tilted, upward-shifting core and exponential decay to the Burgers radial scale.
The thermodynamic speed limit and its violation in axisymmetric numerical simulations of tornado-like vortices.Atmosphere-ocean, 32(2):335–359, 1994
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A note on the shear-forced dynamics of tornadoes
An exact axisymmetric solution of the vortex equations shows that internal vertical wind shear induces a tilted, upward-shifting core and exponential decay to the Burgers radial scale.