Kinematics and conservation of mass

Abstract

This chapter as well as appendix A may be thought of as introductory for the main story that I have to tell. In appendix A, I introduce the mathematical language that we shall be using in describing phenomena at phase interfaces. In this chapter, I describe how the motions of real multiphase materials can be represented using the continuum point of view. To bring out the principal ideas as clearly as possible, I have chosen to confine my attention in these first chapters either to a material composed of a single species or to a material in which there are no concentration gradients. The conditions under which these results are applicable to multicomponent materials will be clear later.