A compressible mixture model with phase transition (Q2630981)

The authors derive a model for multi-component flows with phase transitions and chemical reactions, representing a diffuse interface model. A fluid mixture consisting of \(N\) constituents, subjected to \(N_R\) chemical reactions, is considered. The fluid mixture may exist in two phases, liquid and vapor; the interface between the two phases is modeled by a thin layer. An asymptotic analysis is performed with respect to a small parameter \(\varepsilon\) proportional to the width of the interfacial layer. Two scaling regimes, a non-dissipative regime and a dissipative one are analyzed and the sharp interface limits for these different scaling regimes are determined.