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We explain why the theory of Escauriaza, Seregin, and Sverak (Russian Math.Surveys, 2003) on potential finite time singularity in Navier-Stokes solutionsmust be largely misapprehended. It is found that the proofs of the backwarduniqueness theorem for parabolic equations contain technical errors. The statedvalidity of a theorem for vorticity is established on ill-informed analyses asthe solenoidal constraint is not taken into account. There are many cases whereparabolic scalings are erroneously applied. We briefly discuss a number ofrelated issues.

Remarks on backward uniqueness of parabolic equations and incompressible Navier-Stokes well-posedness