Winzer
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What does it take to look at the well poseness problem of the Navier stokes equations?
Besides knowledge in PDEs.
Besides knowledge in PDEs.
What is needed to solve the Navier-Stokes equations' well-posedness problem?
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I guess that a good knowledge of fluid mechanics will be of great aid.
Winzer
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I'm sorry i should have clarified. I meant in the pure mathematical sense.
Prove or give a counter-example that:
In three space dimensions and time, given an initial velocity field, there exists a vector velocity and a scalar pressure field, which are both smooth and globally defined, that solve the Navier–Stokes equations
Prove or give a counter-example that:
In three space dimensions and time, given an initial velocity field, there exists a vector velocity and a scalar pressure field, which are both smooth and globally defined, that solve the Navier–Stokes equations
matematikawan
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I could win $1 million if I can solve this. 
http://www.claymath.org/millennium/
http://www.claymath.org/millennium/
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Winzer
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Cool. It's agreed that if you solve this we'll split the $$$.matematikawan said:I could win $1 million if I can solve this.
http://www.claymath.org/millennium/
Anyway, what kind of insane math background does one need to attempt his journey?
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