A few basic, intuitive, properties of the Navier-Stokes system of equations for incompressible fluid flows are discussed in this paper. We present a rephrased interpretation of the Navier-Stokes equation. Next, for a given smooth solenoidal initial velocity vector field, we derive a spatially periodic solution of velocity and pressure fields that span the entire unbounded domain in three-dimensions. In this solution all three velocity components depend non-trivially on all three Cartesian coordinate directions.
2000 Math Subject Classification: 35Q30, 76D05