4 research outputs found
A certain necessary condition of potential blow up for Navier-Stokes equations
We show that a necessary condition for to be a potential blow up time is
.Comment: 16 page
Unicité dans L 3 (R 3) et d'autres espaces fonctionnels limites pour Navier-Stokes
The main result of this paper is the proof of uniqueness for mild solutions of the Navier- Stokes equations in L 3 (R 3). This result is extended as well to some Morrey- Campanato spaces
Sur l'unicité dans L 3 (R 3 ) des solutions "mild'' des équations de Navier-Stokes. (French) [On the uniqueness in L 3 (R 3 ) of mild solutions for the Navier-Stokes equations]
We prove uniqueness in 1253-5 for mild solutions of the Navier-Stokes equations when the initial data are small enough. The proof lies on an estimate in the norm for the bilinear term.Nous prouvons l'unicit\ue9 dans L3(R3) des solutions mild des \ue9quations de Navier-Stokes lorsque la donn\ue9e initiale est de taille suffisamment petite. La d\ue9monstration repose sur l'estimation du terme bilin\ue9aire dans l'espace