Chapter 1
The physics of flow
Chapter 2
The historic formulation
Chapter 3
The million-dollar mystery
Chapter 4
The quest for a solution
YOUR GOAL
Master of The Navier-Stokes problem
Ch 3 · The million-dollar mystery
diego The Navier-Stokes Problem
Does a smooth flow blow up and break? (Oh yeah!) / Ten thousand agents found the break! (Ah-ha!)
diego Proving existence and uniqueness means showing a correct, single solution always exists.
diego Mathematicians want to prove if fluid equations always produce smooth, sensible solutions.
BETA
diego Swipe swirling currents to discover why predicting chaotic fluid motion is worth a million dollars.
Fun Fact
Unsolved prizes: Out of seven Millennium Prize Problems announced in 2000, only the Poincaré Conjecture has been solved.
Glossary
singularity (noun)
A point at which a mathematical function or equation becomes infinite or undefined. The Clay Mathematics Institute established a prize in 2000 to prove if fluid equations develop these points.
A point at which a mathematical function or equation becomes infinite or undefined. The Clay Mathematics Institute established a prize in 2000 to prove if fluid equations develop these points.
Quiz
What is the mathematical term for a point where an equation's solution becomes infinite or undefined?
Quiz
What physical impossibility are mathematicians trying to rule out to prove Navier-Stokes smoothness?
Quiz
As of today, how many of the seven Millennium Prize Problems have been successfully solved?
Quiz
Which organization offered a million-dollar prize in 2000 for solving the Navier-Stokes problem?
Quiz
What does it mean mathematically if a Navier-Stokes equation solution is described as 'smooth'?