Help me find solutions for the Navier-stokes equations and you could get rich. The problem is this: A fluid enters a pipe and flows through it smoothly at the outset. Will it keep flowing smoothly? Sounds easy to solve but it isn't because nobody has won the million dollars yet. Here is one idea for how to deal with the problem: Assume the equations which describe smooth flow are really the sums of two types of other equation describing vortices: one set of equations about a vortex spinning clockwise and moving along the pipe, and the other set about a vortex spinning anticlockwise and also moving along the pipe. The Navier-Stokes question then becomes: Do the vortices cancel each other out permanently as time goes on?