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Navier-Stokes Equations

  1. Jun 17, 2009 #1
    What does it take to look at the well poseness problem of the Navier stokes equations?
    Besides knowledge in PDEs.
  2. jcsd
  3. Jun 18, 2009 #2


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    Gold Member

    I guess that a good knowledge of fluid mechanics will be of great aid.
  4. Jun 18, 2009 #3
    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
  5. Jun 18, 2009 #4
    I could win $1 million if I can solve this. :biggrin:

    http://www.claymath.org/millennium/ [Broken]
    Last edited by a moderator: May 4, 2017
  6. Jun 18, 2009 #5
    Cool. It's agreed that if you solve this we'll split the $$$.

    Anyway, what kind of insane math background does one need to attempt his journey?
    Last edited by a moderator: May 4, 2017
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