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Link to CMI's Millennium Problems: http://www.claymath.org/millennium-problems http://www.claymath.org/millennium-problems Relevant summary: "Navier–Stokes E
by jawns 13y ago
Link to CMI's Millennium Problems:
http://www.claymath.org/millennium-problems http://www.claymath.org/millennium-problems
Relevant summary:
"Navier–Stokes Equation: This is the equation which governs the flow of fluids such as water and air. However, there is no proof for the most basic questions one can ask: do solutions exist, and are they unique? Why ask for a proof? Because a proof gives not only certitude, but also understanding."
- calhoun137 13y agoThere are already a large number of solutions to Navier-Stokes that are known. The millennium problem asks to prove existence or non-existence of smooth (infinitely differentiable) solutions that are valid for all time See pg 2, here: http://www.claymath.org/sites/default/files/navierstokes.pdf http://www.claymath.org/sites/default/files/navierstokes.pdf
- atmosx 13y agoI remember listening De Sautoy podcast on BBC, that Euler was not able to solve/find the equation that governs fountains and that it was unsolved. Is this relevant to the topic? ps. Never mind, I guess this[1] answers the question. [1] http://www.claymath.org/sites/default/files/navierstokes.pdf http://www.claymath.org/sites/default/files/navierstokes.pdf
- wanda 13y agoCMI: the original Stack Exchange.