BooksStandalone TitlesCollected Volumepp. 331–345

Remarks on the global regularity for solutions to the incompressible Navier–Stokes equations

  • Isabelle Gallagher

    Université Paris 7, France
Remarks on the global regularity for solutions to the incompressible Navier–Stokes equations cover
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Abstract

We review some recent results concerning the Cauchy problem for the three dimensional, homogeneous, incompressible Navier{Stokes equations. We show in particular that the set of initial data generating a global smooth solution is open and connected, and we discuss under which conditions it is open for weak topology.