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In this article, we describe spaces P such that: if u is a weak (in the sense of Leray [J. Leray, Sur le mouvement d'un fluide visqueux remplissant l'espace, Acta Math. 63 (1934) 193–248]) solution of the Navier–Stokes system for some initial data u0, and if u belongs to P, then u is unique in the class of weak solutions. We say then that weak–strong uniqueness holds. It turns out that the proof of...
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