Document Zbl 0762.35063

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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

SIAM J. Math. Anal. 23, No. 1, 20-28 (1992).

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.

Cited in 56 Documents

MSC:

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

Keywords:

energy estimate; Littlewood-Paley theory; global existence of smooth enough solutions; exterior force

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