Maxwell Transport Equation and Balance Laws

The Maxwell transport equation can be derived from (4.5) requiring that ip c) is a function of c only. With (4.18), the Maxwell transport equation can be written as  

Taking tp = m, (4.33) yields the local form of the continuity equation for the granular material  

Prom (4.19) we conclude that I7(mc) = 0 because the me is a summational invariant (i.e., in a particle collision the momentum is conserved). 

It is customary to introduce a total pressure tensor p defined as the sum of a kinetic and a collisional pressure contribution  

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