In [8] we have defined a viscosity solution for the gradient flow of the exterior Bernoulli free boundary problem. We prove here that the associated energy is non increasing along the flow. For this we build a discrete gradient flow in the flavour of Almgren, Taylor and Wang [2].
1
Université de Bretagne Occidentale, Brest, France
2
Université de Tours, France
Pierre Cardaliaguet; Olivier Ley. On the energy of a flow arising in shape optimization. Interfaces and free boundaries, Tome 10 (2008) no. 2, pp. 223-243. doi: 10.4171/ifb/187
@article{10_4171_ifb_187,
author = {Pierre Cardaliaguet and Olivier Ley},
title = {On the energy of a flow arising in shape optimization},
journal = {Interfaces and free boundaries},
pages = {223--243},
year = {2008},
volume = {10},
number = {2},
doi = {10.4171/ifb/187},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/187/}
}
TY - JOUR
AU - Pierre Cardaliaguet
AU - Olivier Ley
TI - On the energy of a flow arising in shape optimization
JO - Interfaces and free boundaries
PY - 2008
SP - 223
EP - 243
VL - 10
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/187/
DO - 10.4171/ifb/187
ID - 10_4171_ifb_187
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%J Interfaces and free boundaries
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