Remarks on the global existence for the Navier-Stokes incompressible viscous system. (Remarques sur l’existence globale pour le système de Navier-Stokes incompressible.) (French) Zbl 0762.35063

Summary: The goal of this paper is the application of an energy estimate with loss of derivative, proved with the Littlewood-Paley theory, to prove some results of global existence of smooth enough solutions of the Navier- Stokes equations with an exterior force.


35L60 First-order nonlinear hyperbolic equations
35B45 A priori estimates in context of PDEs
35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI