Navier-Stokes proof claimed by Kazakh mathematician
Posted: Fri Jan 24, 2014 4:48 am
Not sure this is the ideal format for this but meh:
http://www.newscientist.com/article/dn2 ... uHeioWnyUk
The equation models fluid flow dynamics in a series of partial differentials as yet it has proved quite hard to prove that it is a smooth equation and that it exists for all cases of n in 3 dimensions. See here for a summary of the prizes award and the equation itself: http://en.wikipedia.org/wiki/Navier%E2% ... smoothness
It seems a Kazhak mathemetician has provided a proof of the Navier-Stokes smootheness and existence problem worth a Clay prize of $1 million dollars, should the proof be found true it will be quite a sensation in the maths world, although I doubt many others will notice.
http://www.newscientist.com/article/dn2 ... uHeioWnyUk
The equation models fluid flow dynamics in a series of partial differentials as yet it has proved quite hard to prove that it is a smooth equation and that it exists for all cases of n in 3 dimensions. See here for a summary of the prizes award and the equation itself: http://en.wikipedia.org/wiki/Navier%E2% ... smoothness
It seems a Kazhak mathemetician has provided a proof of the Navier-Stokes smootheness and existence problem worth a Clay prize of $1 million dollars, should the proof be found true it will be quite a sensation in the maths world, although I doubt many others will notice.
If you can't read the whole article I have a subscription and would be happy to send the text as an email...Kazakh mathematician may have solved $1 million puzzle
15:09 22 January 2014 by Jacob Aron and Katia Moskvitch
Mathematics is a universal language. Even so, a Kazakh mathematician's claim to have solved a problem worth a million dollars is proving hard to evaluate – in part because it is not written in English.
Mukhtarbay Otelbayev of the Eurasian National University in Astana, Kazakhstan, says he has proved the Navier-Stokes existence and smoothness problem, which concerns equations that are used to model fluids – from airflow over a plane's wing to the crashing of a tsunami. The equations work, but there is no proof that solutions exist for all possible situations, and won't sometimes "blow up", producing unrealistic answers.
In 2000, the Clay Mathematics Institute, now in Providence, Rhode Island, named this one of seven Millennium Prize problems offering $1 million to anyone who could devise a proof.
Otelbayev claims to have done just that in a paper published in the Mathematical Journal, also based in Kazakhstan. "I worked on the problem on and off, for 30 years," he told New Scientist, in Russian – he does not speak English.
Mathematical Babel fish
However, the combination of the Russian text and the specialist knowledge needed to understand the Navier-Stokes equations means the international mathematical community, which usually communicates in English is having difficulty evaluating it. Although mathematics is expressed through universal symbols, mathematics papers also contain large amounts of explanatory text.
"Over the years there have been several alleged solutions to the Navier-Stokes problem that turned out to be wrong," says Charles Fefferman of Princeton University, who wrote the official formulation of the problem for Clay. "Since I don't speak Russian and the paper is not yet translated, I'm afraid I can't say more right now."
Otelbayev is a professional, so mathematicians are paying more attention to his proof than is typical for amateur efforts to solve Millennium Prize problems, which are regularly posted online.