The Viscosity-Capillarity Admissibility Criterion for Shocks and Phase Transitions.

Abstract : This paper considers admissibility criteria for non-linear conservation laws based on (i) viscosity and (ii) capillarity and viscosity. It is shown by means of specific examples that while (ii) yields results consistent with experiment for materials exhibiting phase transitions, e.g. a van der Waals fluid, (i) does not.