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Kazakhstan mathematician claims solution of Clay Navier-Stokes Millennium Problem

27 january 2014, 20:50
Mukhtarbay Otelbayev, Director of Mathematics Institute of Astana-based Eurasian National University. Photo courtesy of enu.kz
Mukhtarbay Otelbayev, Director of Mathematics Institute of Astana-based Eurasian National University. Photo courtesy of enu.kz
Photo courtesy of realityzone.ru
Photo courtesy of realityzone.ru
Mukhtarbay Otelbayev, 71, a member of the Kazakh Science Academy, has claimed to have solved the Navier-Stokes existence and smoothness problem, one of the mathematical problems of the millennium, Tengrinews reports citing the official website of the Eurasian National University.

Professor Mukhtarbay Otelbayev, Director of the Eurasian Mathematics Institute at the Astana-based Eurasian National University (ENU), completed and published his work on The Existence of Strong Solution of Navier–Stokes Equations.

The Navier-Stokes existence and smoothness problem is one of the seven most complex problems in mathematics that are also called ‘millennium problems’. It is a system of equations that models the motion of liquids or non-rarefied gases using continuum mechanics.

The seven announced by the Clay Mathematics Institute in 2000. The institute is ready to award a correct solution to any of the problems with a $1,000,000 prize.

Only one out of the seven problems - the Poincaré conjecture - has been officially acknowledged to be solved by Russian mathematician Grigori Perelman, who rejected the prize for his solution.

According to the New Scientist, the solution of the Navier–Stokes equations proposed by scientist Mukhtarbay Otelbayev from Kazakhstan is being translated into English by volunteers.

Most of the paper is math, but all the word parts are in Russian, so there is a need for translation of the paper into English, before the international mathematical community can fully appreciate it and evaluate the solution of the millennium problem. The translation is being made by a group of volunteers led by computer scientist and chemist Misha Wolfson from Massachusetts Institute of Technology who speaks Russian.

"While my grasp on the math is good enough to enable translation up to this point, I am not qualified to say anything about whether or not the solution is any good," Wolfson says.

A researcher of the University of Missouri in Columbia Stephen Montgomery-Smith, who also started to reviewing the work of the Kazakhstan mathematician, attracted his Russian colleagues to study the solution as well.

"What I have read so far does seem valid," he says "but I don't feel that I have yet got to the heart of the proof," Montgomery-Smith said.

Charles Fefferman of Princeton University, who wrote the official formula of the problem for the scientists declared: "Over the years there have been several alleged solutions to the Navier-Stokes problem that turned out to be wrong. Since I don't speak Russian and the paper is not yet translated, I'm afraid I can't say more right now."

Those who want to take part in the translation, please follow this.

Professor Mukhtarbay Otelbayev was awarded the Man of the Year of Kazakhstan title in the science category of Altyn Adam contest in 2002. He won the state scientific scholarship for scientists and researchers who made significant contribution to the development of science and technology.

In 2004 he won the Economic Cooperation Organization award in the Science and Technology nomination.

Otelbayev was awarded with a grant as The Best University Teacher by the Ministry of Education and Science of Kazakhstan. And he is a holder of the State Prize of Kazakhstan in science and technology.

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