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Solving turbulence is quite literally a millenium prize problem with a 1 million USD price tag to it. Solving it would make you famous and almost certainly give
by dasudasu 5y ago
Solving turbulence is quite literally a millenium prize problem with a 1 million USD price tag to it. Solving it would make you famous and almost certainly give you a Fields medal as well. It’s just a particularly difficult problem.
- leephillips 5y agoNo, it isn’t “quite literally a millenium prize problem”. The problem definition is at https://www.claymath.org/sites/default/files/navierstokes.pdf https://www.claymath.org/sites/default/files/navierstokes.pd.... This is related to what I mentioned in passing when I referred to theorems about singularities. You could solve this problem and collect the million bucks and still not have “solved turbulence”. Of course, there is no universal agreement about what solving turbulence means, exactly. EDIT: But most would agree that it would involve constructing solutions to the NS equations that describe turbulence. You could solve the millennium problem by proving that smooth solutions exist, but still not show how to construct any. So it would be of theoretical interest but do nothing to handle the problems of turbulence.
- iainmerrick 5y agoIt may not exactly match the problem statement of that particular prize, but “solving turbulence” is most definitely a very interesting and important area of mathematics research.
- leephillips 5y agoWhat do you mean by “solving turbulence”, and how is it of interest to pure mathematicians?
- ithinkso 5y agoEmergence of chaos in differential equations is pretty much one of the frontiers of pure mathematics
- amelius 5y ago> Solving turbulence is quite literally a millenium prize problem with a 1 million USD price tag to it. Meanwhile, the Apple CEO received $750 million. I think mathematicians are underpaid.