NOTE ON THE VISCOUS DIFFUSION OF ROLLED VORTEX SHEETS

It is well known that vortex sheets are diffused by viscosity. For a plane sheet this diffusion is described by a linear diffusion equation. Here we consider a rolled vortex sheet, and show that the viscous diffusion of the vorticity concentrated at the turns of the sheet, when they are very closely spaced, can also be described by a linear equation, in appropriately transformed variables. © 1979, Cambridge University Press. All rights reserved.