On Diffusive Interface Models for Two-Phase Fluid Flow

Two-phase flows or multi-phase flows are important in many industrialapplications for instance in aerospace chemical engineering micro-technology and so on. They have attracted studies from many engineers geophysicists and astrophysicists. Classically the fluids which are macroscopically immiscible are assumed to be separated by a sharp interface. But in order to describe topological transitions such as droplet formation coalescence of several droplet or droplet breakup we need to take into account a partial mixing on a small length scale in the models which is called the diffusion interface models divided into Navier-Stokes-Cahn-Hilliard and Navier-Stokes-Allen-Cahn systems. This book offers our recently results on the diffusion interface models for two-phase fluid flows.