A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations

Pierre Gilles Lemarié-Rieusset (1)

1 LaMME - Laboratoire de Mathématiques et Modélisation d'Evry

We extend Barker's weak-strong uniqueness results for the Navier-Stokes equations and consider a criterion involving Besov spaces and weighted Lebesgue spaces.

Mots clés: uniformly locally square integrable functions; weighted Lebesgue spaces AMS classification : 35K55; 35Q30; 76D05; Navier-Stokes equations; weak-strong uniqueness; Besov spaces

Domaines: Equations aux dérivées partielles [math.AP]

Pierre Gilles Lemarié-Rieusset. A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations. Revista Matemática Iberoamericana, 2022, 38 (7), pp.2217-2248. ⟨10.4171/RMI/1386⟩. ⟨hal-03417963⟩