On the energy of a flow arising in shape optimization
Pierre Cardaliaguet
Université de Bretagne Occidentale, Brest, FranceOlivier Ley
Université de Tours, France
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Abstract
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].
Cite this article
Pierre Cardaliaguet, Olivier Ley, On the energy of a flow arising in shape optimization. Interfaces Free Bound. 10 (2008), no. 2, pp. 223–243
DOI 10.4171/IFB/187