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- ItemThe sharp-interface limit for the Navier--Stokes--Korteweg equations(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2019) Abels, Helmut; Daube, Johannes; Kraus, Christiane; Kröner, DietmarWe investigate the sharp-interface limit for the Navier--Stokes--Korteweg model, which is an extension of the compressible Navier--Stokes equations. By means of compactness arguments, we show that solutions of the Navier--Stokes--Korteweg equations converge to solutions of a physically meaningful free-boundary problem. Assuming that an associated energy functional converges in a suitable sense, we obtain the sharp-interface limit at the level of weak solutions.