Grant Ayvazyan's and Thomas Gerhart's Unsolved Problems
-=Navier-Stokes
Equations=-
Waves follow our
boat as we meander across the lake, and turbulent air currents follow
our flight in a modern jet. Mathematicians and physicists believe
that an explanation for and the prediction of both the breeze and
the turbulence can be found through an understanding of solutions
to the Navier-Stokes equations. Although these equations were written
down in the 19th Century, our understanding of them remains minimal.
The challenge is to make substantial progress toward a mathematical
theory which will unlock the secrets hidden in the Navier-Stokes
equations.