The three-dimensional Euler equations : Where do we stand?

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Convex integration and phenomenologies in turbulence (2019, background): “usly unresolved, and is intimately related to the Clay Millennium problem [74]. Indeed, there exists numerical evidence to suggest that the 3D Euler equations may develop a singularity [137,136] (cf. [163,88,89,30]). Recently, Elgindi and Jeong demonstrated the formation of a singularity in the pres”
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations (2019, background): “The fundamental question regarding the global regularity of the 3D Euler and Navier-Stokes equations for general smooth initial data with finite energy remains open, and it is generally viewed as one of the most important open questions in mathematical fluid mechanics; see the surveys [10, 18, 19, 2”