Is the Navier Stokes equation solved?

In particular, solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. Even more basic properties of the solutions to Navier–Stokes have never been proven.

Who Solved Navier Stokes?

Russian mathematician Grigori Perelman was awarded the Prize on March 18 last year for solving one of the problems, the Poincaré conjecture – as yet the only problem that’s been solved. Famously, he turned down the $1,000,000 Millennium Prize.

What are the independent variables in the Navier Stokes equations?

There are four independent variables in the equation – the x, y, and z spatial coordinates, and the time t; six dependent variables – the pressure p, density , temperature T, and three components of the velocity vector u.

What is the longest equation?

What is the longest equation in the world? According to Sciencealert, the longest math equation contains around 200 terabytes of text. Called the Boolean Pythagorean Triples problem, it was first proposed by California-based mathematician Ronald Graham, back in the 1980s.

What are the 7 unsolved math problems?

Of the original seven Millennium Prize Problems set by the Clay Mathematics Institute in 2000, six have yet to be solved as of July, 2020:P versus NP.Hodge conjecture.Riemann hypothesis.Yang–Mills existence and mass gap.Navier–Stokes existence and smoothness.Birch and Swinnerton-Dyer conjecture.

What is the hardest math on earth?

10 of the Toughest Math Problems Ever SolvedThe Poincaré Conjecture. Fermat’s Last Theorem. The Classification of Finite Simple Groups. The Four Color Theorem. (The Independence of) The Continuum Hypothesis. Gödel’s Incompleteness Theorems. The Prime Number Theorem. Solving Polynomials by Radicals.

Who is Diane Adler mathematician?

Diane Adler was a brilliant mathematician, a prodigy whose talent had put her on the fast track to scholarly fame and immortality. She is on the verge of solving one of the most difficult and significant of all mathematical problems.

What is Navier Stokes used for?

The Navier–Stokes equations are useful because they describe the physics of many phenomena of scientific and engineering interest. They may be used to model the weather, ocean currents, water flow in a pipe and air flow around a wing.

What is the most beautiful equation?

Euler’s identity

What is the hardest physics equation?

The Navier-Stokes equations involve calculating changes in quantities like velocity and pressure. Mathematicians worry about this kind of scenario: You’re running the equations, and after some finite amount of time, they tell you a particle in the fluid is moving infinitely fast.