Kinetic theory for bubbly flow II: Fluid dynamic limit

A Vlasov equation for bubbly flow is modified to account for local interactions between bubbles. Fluid equations are deduced in the limit where local interactions cause the system to become locally Maxwellian. The resulting fluid equations are well posed for sufficiently large temperature. We compute void wave speeds that are found to be in agreement with experiments. In the limit when the temperature is zero, we recover fluid equations previously derived by other investigators. In this limit there are solutions of the equations that blow up in finite time.