On the localization on the vortices
On the localization on the vortices
The author discusses the time evolution of an inviscid incompressible fluid in two dimensions with initial vorticity concentrated in a finite number of disjoint regions of small diameter. The weak formulation of the Euler equations is used. It is proved that the blobs of vorticity remain localized at a finite time under some assumption on the size of the vortical regions, and that vorticity distribution converges weakly to the collection of point vortices by decreasing the size of the blobs.
vorticity distribution, weak formulation of Euler equations, two-dimensional flows, weak convergence, time evolution, Vortex flows for incompressible inviscid fluids, point vortex methods, PDEs in connection with fluid mechanics, blobs of vorticity
vorticity distribution, weak formulation of Euler equations, two-dimensional flows, weak convergence, time evolution, Vortex flows for incompressible inviscid fluids, point vortex methods, PDEs in connection with fluid mechanics, blobs of vorticity
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