Prove the existence of smooth solutions to a certain model

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The discussion centers on the Navier-Stokes problem, a significant challenge in the field of incompressible fluid dynamics. It involves proving the existence of smooth solutions to the Navier-Stokes equations, which describe the motion of fluid substances. The Clay Mathematics Institute has designated this problem as one of seven Millennium Prize Problems, offering a reward of one million dollars for a successful solution. The conversation also notes that the Poincaré conjecture has likely been resolved, leaving potentially six unsolved problems.
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You don't need to solve this, just tell me what problem it is... although if you do solve it you'll be a million dollars richer.

Prove the existence of smooth solutions to a certain model of incompressible fluid dynamics. This is the ... problem?
 
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It's the Navier-stokes problem and Clay Mathematics institute offers 1 million dollars prize to solve it or 6 other different problems (possibly 5 because the Poincare conjecture seems to have been solved recently)
 
point for meteor!
 
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