ON THE UNIQUENESS IN THE 3D NAVIER-STOKES EQUATIONS

Abdelhafid Younsi (1)

1 LAMNEDP - Laboratoire d'Analyse Mathématique et Numérique des Equations aux Dérivées Partielles

In this paper, we give a new regularity criterion on the uniqueness results of weak solutions for the 3D Navier-Stokes equations satisfying the energy inequality. Morevore, we prove that a weak solution of the 3D Navier- Stokes equations is unique in the class of continuous solution.

Mots clés: Navier-Stokes equations- weak solutions -uniqueness .; Navier-Stokes equations- weak solutions -uniqueness

Domaines: Equations aux dérivées partielles [math.AP]

Abdelhafid Younsi. ON THE UNIQUENESS IN THE 3D NAVIER-STOKES EQUATIONS. 2012. ⟨hal-00586485v6⟩