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Is the Navier Stokes Problem solved?

Is the Navier Stokes Problem solved?

The Navier–Stokes problem in two dimensions was solved by the 1960s: there exist smooth and globally defined solutions.

What makes the Navier Stokes equation so difficult?

Well, start by thinking about what could make them not exist. The Navier-Stokes equations involve calculating changes in quantities like velocity and pressure. That would be a problem because you can’t calculate the change of an infinite value any more than you can divide by zero.

Is Diane Adler Real?

If you’re asking whether she solved the problem in real life, then no; Diane Adler is a fictional character, and if anyone solved a Millennium Prize problem, then it would have been publicized in media outlets worldwide.

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Why is turbulence difficult?

The difficulty is in the fact that if you take a dissipative fluid system and begin to perturb it for example by injecting energy, its states will qualitatively change. Over some critical value the behaviour will begin to be more and more irregular and unpredictable.

What are the five relationships that are most useful in fluid mechanics problems?

There are five relationships that are most useful in fluid mechanics problems: kinematic, stress, conservation, regulating, and constitutive.

Who is the father of fluid mechanics?

Ludwig Prandtl
Prandtl changed the field of fluid mechanics and is called the modern father of fluid mechanics because of his introduction of boundary layer, turbulence mixing theories etc. Ludwig Prandtl was born in Freising, Bavaria, in 1874. His father was a professor of engineering and his mother suffered from a lengthy illness.

Who Solved Millennium Problems?

To date, the only Millennium Prize problem to have been solved is the Poincaré conjecture, which was solved in 2003 by the Russian mathematician Grigori Perelman.

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What is the world’s hardest equation?

It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

Is gifted based off a true story?

Gifted isn’t based on a true story, but kids like the fictional Mary have made extraordinary academic progress at a young age. His sister entrusted her child to him before she died, and he’s determined to honor her wishes by keeping Mary safe from the pressures of the world as long as he can.