We rigorously carry out a lubrication approximation for a liquid thin film which spreads on a solid, driven by surface tension. We consider a two–dimensional Darcy liquid as simple model case. Of particular interest to us is the codimension–two free boundary, i.e. the triple junctions where solid, liquid and vapor meet. In the considered regime of complete wetting, the contact angle vanishes throughout the evolution. We show in particular that this contact angle condition is preserved in the lubrication approximation.
1
Università di Roma La Sapienza, Italy
2
für Mathematik in den Naturwissenschaften, Leipzig, Germany
Lorenzo Giacomelli; Felix Otto. Rigorous lubrication approximation. Interfaces and free boundaries, Tome 5 (2003) no. 4, pp. 483-529. doi: 10.4171/ifb/88
@article{10_4171_ifb_88,
author = {Lorenzo Giacomelli and Felix Otto},
title = {Rigorous lubrication approximation},
journal = {Interfaces and free boundaries},
pages = {483--529},
year = {2003},
volume = {5},
number = {4},
doi = {10.4171/ifb/88},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/88/}
}
TY - JOUR
AU - Lorenzo Giacomelli
AU - Felix Otto
TI - Rigorous lubrication approximation
JO - Interfaces and free boundaries
PY - 2003
SP - 483
EP - 529
VL - 5
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/88/
DO - 10.4171/ifb/88
ID - 10_4171_ifb_88
ER -
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%A Felix Otto
%T Rigorous lubrication approximation
%J Interfaces and free boundaries
%D 2003
%P 483-529
%V 5
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/88/
%R 10.4171/ifb/88
%F 10_4171_ifb_88
