Vol.4 : Computational Turbulent Incompressible Flow

Proposed Resolution

The primary objectives and purposes of The Clay Mathematics Institute are:

  • to increase and disseminate mathematical knowledge,
  • to educate mathematicians and other scientists about new discoveries in the field of mathematics,
  • to encourage gifted students to pursue mathematical careers,
  • and to recognize extraordinary achievements and advances in mathematical research.

In order to celebrate mathematics in the new millennium, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named seven prize problems. The Scientific Advisory Board of CMI selected these problems, focusing on important classic questions that have resisted solution over the years. The Board of Directors of CMI designated a $7 million prize fund for the solution to these problems, with $1 million allocated to each. The CMI will further the beauty, power and universality of mathematical thought.

One of the prize problems concerns the incompressible Navier-Stokes equations for a Newtonian fluid with constant positive viscosity (of any size):

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