A reason (beyond hardware limits) math cannot model weather?

Is the only reason that math cannot model weather far in advance (among other things such as boiling water patterns) because it would require too much computational power? Or is there more to it? Is weather, et al too "organic" and thus math is not applicable to it?

>>14
Chaos "theory" (more like "placeholder") is itself the result of computers, a product of hardware limits rather than a law unto itself. Prior to computers, for example, people thought the mathematical monsters of fractal geometry were inconceivable and could never be viewed as shapes. Now people think that divergence patterns are inconceivable and can never be measured, but what if we really just needed a more powerful computer?