(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christiane
This paper deals with a sharp interface limit of the isothermal
Navier-Stokes-Korteweg system. The sharp interface limit is performed by
matched asymptotic expansions of the fields in powers of the interface width.
These expansions are considered in the interfacial region (inner expansions)
and in the bulk (outer expansion) and are matched order by order.
Particularly we consider the first orders of the corresponding inner
equations obtained by a change of coordinates in an interfacial layer. For a
specific scaling we establish solvability criteria for these inner equations
and recover the results within the general setting of jump conditions for
sharp interface models.
