ABSTRACT
In this chapter, we use the theory of local Leray solutions to get two major recent results: the L t ∞ L x 3 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315373393/e1c1ff9e-5083-409e-83f8-9c892d4b410a/content/eq7908.tif"/> regularity result of Escauriaza, Seregin and Šverák [133] for suitable solutions of the Navier–Stokes equations and the result of Jia and Sverak [205] on the (potential) existence of a minimal-norm initial value for a blowing-up mild solution to the Navier–Stokes Cauchy problem (first established by Rusin and Šverák [357] and by Gallagher, Koch and Planchon [163]).
