Artificial-boundary conjecture for axisymmetric Euler blow-up

Consider smooth axisymmetric Euler solutions in the axisymmetric coordinate formulation, with vorticity non-vanishing on the axis of symmetry. Artificial-boundary conjecture. There exist such smooth solutions that become singular in finite time. The source explains that these solutions need not lift to smooth three-dimensional solutions on the symmetry axis, so the axis acts as an artificial boundary; the conjecture remains open.

Sources & referencesView supporting material

Primary source

Theodore D. Drivas and Tarek M. Elgindi, “Singularity formation in the incompressible Euler equation in finite and infinite time”, arXiv:2203.17221 (2022).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.