Global regularity for periodic data

Let (u0,f,T)(u_0,f,T) be a smooth periodic set of data. Global regularity for periodic data. There exists a smooth periodic solution (u,p,u0,f,T)(u,p,u_0,f,T) with the indicated data. This is the inhomogeneous periodic global regularity problem for the three-dimensional Navier–Stokes equation; the source subsequently explains that a normalised-pressure formulation is needed, and no resolution is supplied here.

Sources & referencesView supporting material

Primary source

Terence Tao, “Localisation and compactness properties of the Navier-Stokes global regularity problem”, arXiv:1108.1165 (2012).

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