Kazakh Professor Claims Solution of Another Millennium Prize Problem
An anonymous reader writes "Kazakh news site BNews.kz reports that Mukhtarbay Otelbaev, Director of the Eurasian Mathematical Institute of the Eurasian National University, is claiming to have found the solution to another Millennium Prize Problems. His paper, which is called 'Existence of a strong solution of the Navier-Stokes equations' and is freely available online (PDF in Russian), may present a solution to the fundamental partial differentials equations that describe the flow of incompressible fluids for which, until now, only a subset of specific solutions have been found. So far, only one of the seven Millennium problems was solved — the Poincaré conjecture, by Grigori Perelman in 2003. If Otelbaev's solution is confirmed, not only it might be the first time that the $1 million offered by the Clay Millennium Prize will find a home (Perelman refused the prize in 2010), but also engineering libraries will soon have to update their Fluid Mechanic books."
I guess he's still angry about that Baron Cohen Movie.
...that as the world-leading Soviet scientific education system is replaced with a the religion of the Invisible Hand, aka the market model, these nations will end up producing less and less.
These claims often occur, even publicly (remember, what was it, the IBM researcher who claimed to have solved the N=?NP problem?) but it is rare for them to be true. But, it would be fabulous for another one of these problems to have been solved.
Oh no. Textbook publishers HATE having to do that....
'more that', instead of 'more that'
So much irony it is delicious...
dat grammer
If it is such an important article, why did he not find someone to translate it to English? He did get some related papers published in English. It seems that those are about approximations. Interesting non the less.
Aren't you missing a "sarcasm" tag?
GRS= -\frac{\frac{\delta u}{\delta x1}}{\frac{\delta u}{\delta x2}}
It's P=NP, you insensitive clod!
This must be very new or very crackpot. There are no posts on mathoverflow about it.
Clearly both P and N are 1.0
"His name was James Damore."
No, it's P!=NP.
What a fool believes, he sees, no wise man has the power to reason away.
(I refuse to believe that we've wasted our time on the alternate solution, which is nothing)
"His name was James Damore."
or P=0
Great, like the college text books need another reason to come out with a re-write for next year.
In his bio it is claimed that he found explicit formulas for n-particle motion in the space (in the framework of Einstein’s relativity theory). If that would be true, I guess it would have be known in the rest of the world as well, if he had.
Clearly both P and N are not 0 or 1.
Sleep your way to a whiter smile...date a dentist!
I don't really know what's involved, but if there's a textbook that teaches you how to be a fluid mechanic, I am sure that's for me!
Eurasian National University?
I thought 1984 was fiction...
Otelbaev has published in some very respected journals, and trained with the very top people. His work is worth serious scrutiny. Of course, it is easy, even for the most brilliant scholars, to make a mistake which makes it look as if a big problem has fallen. Skepticism, but no mockery, please.
Allegedly, anyway.
There's no millennium prize for grammar.
...mathematics, but real fluids are compressible, viscous and varying properties. Let's see how far his approach extends and how closed the answers are. Fluid mechanics text book publishers will probably give him a few paragraph boxes or pages for history and theoretical stuff. Then back to the classic stuff.
You can solve minor physics problems starting in their relavistic form, but most engineers still use Newtonian physics.
It has been up and running for over 15 years. Is there some problem?
"Stratigraphically the origin of agriculture and thermonuclear destruction will appear essentially simultaneous" -- Lee
http://en.wikipedia.org/wiki/Category:Russian_Nobel_laureates
There are ads, for non-signed-in, non-adblocking users (which, presumably, contains large numbers of gullible and under-informed readers who are the ideal target market for advertising). Allowing active readers/posters, who are smart enough to block ads anyway, to operate ad-free provides Slashdot with a huge amount of free material to attract page hits by advertising viewers (thus money from the ads) --- with near zero cost or effort for in-house journalistic/editorial work. If you're not seeing ads, but you're making posts, then you are the product being sold to the ad-reading viewers who are being sold to the advertisers.
I take exception to the use of the word "Claim" here. I never see this used for American or Western professionals?
In fact here on Slashdot we have a story about "Cheshire Cat" observations by a group and "Claim" wasn't used there.
You (Slashdot) are being highlighted for your stereotypes and western aligned views again.
We don't have to know what N is. P = 0 and done.
Try:
http://translit.ru
Director of the Eurasian Mathematical Institute of the Eurasian National University
Kazakhstan and all the 'stans' are in Asia. Why do they have to pretend to be associated w/ Europe by using the term 'Eurasian'? The only 2 Eurasian countries that exist are the Russian Federation and Turkey. Russia since west of the Urals is Europe and east of it is Asia. Turkey since Anatolia is in Asia while the East Thrace part of the country is in Europe.
But none of the other countries are 'Eurasian'. Georgia and Armenia might be considered European, since they culturally have little in common w/ the Asiatic countries nearest them - Iran, Turkey or any of the Arab countries south of them. Azerbaijan is tightly connected to both Iran & Turkey, and so are the 'stans'. As a result, all 6 of those countries are Asiatic countries, as opposed to 'Eurasian' or 'European'. Why are they so reluctant to admit it?
He just wanted to know the revenue model. Even the concept of car has been working for over 100 years and still people ask the question "how does a car work?".
Personally, I choose to neither block not disable the ads. This is a part of my support for Slashdot.
OTOH, I also don't have Flash installed, and Java is disabled in my browser. Because I'm not stupid.
I think we've pushed this "anyone can grow up to be president" thing too far.
That's a bit passive aggressive. Becoming a mathematics genius Just so you can solve Millenium problems and then refuse the prize money.
I should use this sig to advertise my book ISBN-13 : 978-1501515132.
Sorry, but while there are some bits and pieces in this comment that are not far from the mark, large parts of it seem more like word salad and have little to do with the n-body problem.
The system isn't differentiable and you can't actually perform infinitesimal steps.
Did you mean to say the system is not integrable? You can setup a pretty straight forward differential equation for the setup, but getting an analytic solution in general is a different story. Analytically you can perform infinitesimal time steps, as that is the whole point of calculus. Numerically you can't, at least not in a straightforward way, but at that point you are obviously not going with an analytic solution anyway. Although there are other systems where you can guarantee to converge on the actual solution, but not relevant to the n-body problem in general.
A system being chaotic is not mutually exclusive with having exact, analytic solutions. The problem with such systems is that all paths the solutions take diverge exponentially, so no matter how small of an error you start out with, that error will become significant on some timescale. The issue with such systems is not the lack of known solutions, but the lack of perfect measurements, that we don't know exactly the starting state (and computers are unlikely to be able to represent it), so that error will grow fast. This is a tangent to the idea of the system having solutions though.
because you can do bugger all with infinite multiway recursion
It isn't even regular recursion, it is just simple iteration...
What you CAN do is flatten the universe into a 2D holographic model.
The n body problem is just a simple system of differential equations, either you find a solution (or approximate solution) to it or not. If you remove time from it, you will find constants of motion like any other dynamic system, without any need to invoke "holographic."
Alternatively, with time dilation, you can make infinitesimal time arbitrarily large.
By definition, an infinitesimal number can't be made non-infinitesimal by just multiplying by some other finite number. Time dilation isn't going to fix this at all.
The post states that the paper "is claiming to have found the solution to another Millennium Prize Problems" while the article's title is “Existence of a strong solution of the Navier-Stokes equations". By my interpretation, the paper is claiming to show the existence of strong solutions (that is, solutions satisfying the Navier-Stokes equations in non-Weak Form subjected to some set of boundary data) not a general (or any) solution, in particular. While the proof of existence is the Millennium Prize if the proof includes smoothness (continuity after some degree of differentiation), the fact of whether or not these solutions exist is irrelevant to most (if any) Fluid Mechanics texts and engineers/modelers.
The post also states that the Navier-Stokes is "fundamental [set of] partial differentials equations that describe the flow of incompressible fluids"; this is true if all the physical parameters (density, viscosity, and pressure) are taken as constants such that an equation-of-state and energy equation are not needed. However, if they are not assumed constant, the Navier-Stokes equations also perfectly describe the flow of compressible fluids if equipped with an energy equation, an equation-of-state, and other constitutive relations as needed. The only rub comes in when dealing with a fluid that is either not a contiguous field (such as fluids that break-up when immersed in another or, in some cases, a fluid undergoing phase change) or a fluid that does not obey the Stokes Hypothesis (an extension of the idea of a Newtonian fluid to multiple dimensions) which is used as a constitutive relation for the stress tensor in the Navier-Stokes equations.
on the last page it is in English.
For proving that P = NP.
If P=1, N=1 then P=NP and P! = NP
Or the elusive -0.
I think the correct quote is:
"From each according to his abilities, to each according to his needs."
While I don't speak Russian either, I don't get why native English speakers always think their language is (and should be) the "default" one.
Sure, in Western nations it's working pretty well as an international compatibility/fallback language (because of its simplicity and the fact that many of these nations use Germanic languages so the differences are not that enormous), but as soon as we get out of the "Anglosphere", Chinese and Russian are far more significant.
Why in the world would you transliterate something into a less detailed language when your native is already widely spoken in your audience? There are plenty of people in the world who could (and probably will) do that anyway if enough English speakers want to read your paper.
I'm pretty sure most English speakers who read this will disagree with me and mod me flamebait, since the English language seems to be generating the largest echo chamber in existence. But imagine what you'd be thinking if you had just published a paper in English, in your own country and language, and people would be posting dismissive comments like "Why is this paper not in Chinese? It must not be important if it isn't in Chinese...".
Guess what, more than half the planet is used to finding content in a language they don't speak (English), and they rarely complain. An online (or offline) dictionary and/or Google Translate are not exactly hard tools to use.
But it’s irrelevant whether you can read his text. You are irrelevant to him. It’s only relevant whether the people who will check his solution can read it.
Except I hate to tell you, but the Jews are a made up people. Hitler invented them as an imaginary scapegoat, murdered 10.5 million innoccents to distract the German people from the war by fighting his fictional enemies, and then after the war some Poles got together with some Arabs and pretended to be the so-called "Jews" so half of them could emigrate to Brooklyn and the rest could score enough sympathy to get away with starting a new country.
Bizarrely, the other Arabs were so dumb they believed it and they've been trying to kill their erstwhile fellow Arabs ever since. Hard to figure.