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ρ , u , and e following the motion at velocity u . In the continuum description these field variables are continuous differentiable functions of space and time so that the spatial averaging (necessary to an analysis of molecular dynamics data) is unnecessary. 

The steady nature of the shock process makes it possible to use either space or time as an independent variable. On the average, the progress of a particle traveling through the shockwave follows from the integral of the flow velocity. To illustrate, consider again 

