Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables

Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""''~ with u = (ul'' ... ,u ) and u(x,t) defined m for x = (xl""''~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physic...