Joseph Klewicki University of New Hampshire Investigations over the past decade reveal that a substantial amount of information can be determined via direct consideration of the boundary value problem describing the mean dynamics of turbulent wall flows. This is true, despite the relevant mean equation being unclosed. The present talk describes some of these results and discusses their physical and mathematical implications. Beginning with a brief discussion of the analysis methodology employed, the first part of the talk emphasizes findings that stem directly from the properties admitted by the mean equation. The second part of the talk then discusses connections and correlations between measured statistical properties, and those associated with the mean dynamics.