(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane
We introduce a new thermodynamically consistent diffuse interface model
of AllenCahn/NavierStokes type for multi-component flows with phase
transitions and chemical reactions. For the introduced diffuse interface
model, we investigate physically admissible sharp interface limits by matched
asymptotic techniques. We consider two scaling regimes, i.e. a
non-dissipative and a dissipative regime, where we recover in the sharp
interface limit a generalized Allen-Cahn/Euler system for mixtures with
chemical reactions in the bulk phases equipped with admissible interfacial
conditions. The interfacial conditions satify, for instance, a YoungLaplace
and a Stefan type law.
