In this paper we consider stationary ice sheet modelled as a Stokes flow in a bounded two-dimensional domain. In particular, we study the behavior of the grounding line, where different boundary conditions meet: no-slip conditions for the grounded part and force balance conditions for the floating part whose shape is a priori undetermined. This yields a free boundary problem with mixed boundary conditions and a contact line, called "left grounding line" in the glaciological context, that might move along the solid substrate. We show that solutions with moving grounding lines and zero contact angle do exist and determine the shape and asymptotic properties of the free boundary.
1
Universidad Autónoma de Madrid, Spain
2
Universidad Rey Juan Carlos I, Móstoles (Madrid), Spain
Marco Antonio Fontelos; Ana I. Muñoz. A free boundary problem in glaciology: The motion of grounding lines. Interfaces and free boundaries, Tome 9 (2007) no. 1, pp. 67-93. doi: 10.4171/ifb/156
@article{10_4171_ifb_156,
author = {Marco Antonio Fontelos and Ana I. Mu\~noz},
title = {A free boundary problem in glaciology: {The} motion of grounding lines},
journal = {Interfaces and free boundaries},
pages = {67--93},
year = {2007},
volume = {9},
number = {1},
doi = {10.4171/ifb/156},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/156/}
}
TY - JOUR
AU - Marco Antonio Fontelos
AU - Ana I. Muñoz
TI - A free boundary problem in glaciology: The motion of grounding lines
JO - Interfaces and free boundaries
PY - 2007
SP - 67
EP - 93
VL - 9
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/156/
DO - 10.4171/ifb/156
ID - 10_4171_ifb_156
ER -
%0 Journal Article
%A Marco Antonio Fontelos
%A Ana I. Muñoz
%T A free boundary problem in glaciology: The motion of grounding lines
%J Interfaces and free boundaries
%D 2007
%P 67-93
%V 9
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/156/
%R 10.4171/ifb/156
%F 10_4171_ifb_156
