This is a comprehensive account of the asymptotic theory of slender
vortices with diffusion cores. Addressed to both graduate students
and researchers it describes the mathematical model and its
numerical analysis. The asymptotic analysis involves two length and
two time scales. Consistency conditions and time invariance of
moments of vorticity are given and applied to numerical solutions.
The authors also describe consistency conditions between the large
circumferential and axial velocity in the core.
General
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