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 study the Cauchy problem of the 3D incompressible Navier-Stokes equations. We prove an uniqueness result of weak solutions for the 3D Navier-stokes equations satisfying the energy inequality.

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

Domaines: Equations aux dérivées partielles [math.AP]

Abdelhafid Younsi. ON THE UNIQUENESS IN THE 3D NAVIER-STOKES EQUATIONS. 2012. ⟨hal-00586485v4⟩