Some Remarks on Moving Sharp Interfaces

Abstract

We deal with some aspects of the general (mathematical) modeling of sharp interfaces (i.e. two-dimensional surfaces within a three-dimensional body) without and with own thermodynamical activity (i.e. with interfacial densities, fluxes and supplies). Questions of regularity of the quantities involved are especially addressed. We present a classification of sharp interfaces taking their relation to the remaining body as well as their thermodynamic behavior into account. After a short look into local balances at the interface we discuss a model of a shrinking body (due to mechanical treatment, e.g.) in the framework of sharp singular interfaces.