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The evolution of a pair of point vortices in whole space, subject to theinviscid Euler equations for incompressible fluid flow, is solved exactly forrotationally symmetric initial conditions. This exact solution shows that thevortex strength for a pair of point vortices can either remain stable or blowup in finite time, depending on the initial data.

The strength of a pair of point vortices in an incompressible inviscid fluid in 3d can blow up in finite time