On an Inviscid Approach to Phase Transition Problem

摘要: An interesting aspect of van der Waals’ type fluids is that the systems describing motion are hyperbolic-elliptic mixed type, when dissipative and/or capillary terms neglected and inviscid. As in hyperbolic conservation laws, weak solutions not unique to pick up a physically relevant solution various admissibility criteria have been proposed. There mainly two distinct approaches this problem. One approach consider viscous or/and effects fluids. Slemrod [1], [2] has proposed viscosity-capillarity criterion which only but also taken into account order select admissible solution. Pego [3], on other hand, considered effect shown stability coexistent phases viscoelastic bar. In above higher considered. Another inviscid systems. Shearer [4] Riemann problem for (2.1) assuming all stationary phase boundaries admissible. He double boundary [5]. Hattori [6], [7], [8] application entropy rate useful. Note comparison given [9].