1Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany 2Universität Stuttgart, Germany 3Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Interfaces and free boundaries, Tome 14 (2012) no. 1, pp. 105-143
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.
Wolfgang Dreyer
1
;
Jan Giesselmann
2
;
Christiane Kraus
3
;
Christian Rohde
2
1
Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
2
Universität Stuttgart, Germany
3
Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Wolfgang Dreyer; Jan Giesselmann; Christiane Kraus; Christian Rohde. Asymptotic analysis for Korteweg models. Interfaces and free boundaries, Tome 14 (2012) no. 1, pp. 105-143. doi: 10.4171/ifb/275
@article{10_4171_ifb_275,
author = {Wolfgang Dreyer and Jan Giesselmann and Christiane Kraus and Christian Rohde},
title = {Asymptotic analysis for {Korteweg} models},
journal = {Interfaces and free boundaries},
pages = {105--143},
year = {2012},
volume = {14},
number = {1},
doi = {10.4171/ifb/275},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/275/}
}
TY - JOUR
AU - Wolfgang Dreyer
AU - Jan Giesselmann
AU - Christiane Kraus
AU - Christian Rohde
TI - Asymptotic analysis for Korteweg models
JO - Interfaces and free boundaries
PY - 2012
SP - 105
EP - 143
VL - 14
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/275/
DO - 10.4171/ifb/275
ID - 10_4171_ifb_275
ER -
%0 Journal Article
%A Wolfgang Dreyer
%A Jan Giesselmann
%A Christiane Kraus
%A Christian Rohde
%T Asymptotic analysis for Korteweg models
%J Interfaces and free boundaries
%D 2012
%P 105-143
%V 14
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/275/
%R 10.4171/ifb/275
%F 10_4171_ifb_275
