Mathematical Problems for the Next Century

Just like Hilbert did state the most important mathematical problems for the 20th. century, Steven Smale goes in an attempt of doing the same for the 21st. century.

I pay special attention to a few problems:

Problem 8: Introduction of dynamics into economic theory:
"Extend the mathematical model of general equilibrium theory to include price adjustments".

Problem 10: The Closing Lemma.

Problem 11: Is one-dimensional dynamics generally hyperbolic?
"Can a complex polynomial map be approximated by one which is hyperbolic?"

Problem 13: Hilbert's 16th. problem

Problem 14: Lorenz attractor

Problem 15: Navier-Stokes equations. "the study of turbulence"

Problem 18: Limits of Intelligence. "however, a broader study is called for, one which involves deeper models of the brain and of the computer, in a search of what artificial and human intelligence have in common, and how they differ".

It seems like there is a relations between turbulence and the models of the brain. This may seem a good research direction for me...