<p>The purpose of this note is to survey the history and state-of-the-art regarding the Millenium Prize Problem for the incompressible Navier-Stokes equations. We will also discuss singularities in fluid dynamics and the corresponding problem for the Euler equations.</p>

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Singularities for Solutions of the Navier-Stokes and Euler Equations and the Millenium Problem

  • M. C. Lopes Filho,
  • H. J. Nussenzveig Lopes

摘要

The purpose of this note is to survey the history and state-of-the-art regarding the Millenium Prize Problem for the incompressible Navier-Stokes equations. We will also discuss singularities in fluid dynamics and the corresponding problem for the Euler equations.