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The incompressible Navier-Stokes system seventy years after Jean Leray. (Le système de Navier-Stokes incompressible soixante dix ans après Jean Leray.) (French. English summary) Zbl 1075.35035

Guillopé, L. (ed.) et al., Proceedings of the colloquium dedicated to the memory of Jean Leray, Nantes, France, June 17–18, 2002. Paris: Société Mathématique de France (ISBN 2-85629-160-0/pbk). Séminaires et Congrès 9, 99-123 (2004).
Author’s summary: This text first analyzes the basic paper of Jean Leray about Navier-Stokes equations. Then we present a brief overview of the problem of global regularity. We study Lagrangian properties of the solutions of Navier-Stokes equations. In the last section, we establish an estimate which describes the regularization effect of the Navier-Stokes equations in terms of analyticity.
For the entire collection see [Zbl 1056.00013].

MSC:

35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
35B60 Continuation and prolongation of solutions to PDEs
35B65 Smoothness and regularity of solutions to PDEs
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