JournalsifbVol. 10, No. 2pp. 223–243

On the energy of a flow arising in shape optimization

  • Pierre Cardaliaguet

    Université de Bretagne Occidentale, Brest, France
  • Olivier Ley

    Université de Tours, France
On the energy of a flow arising in shape optimization cover
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Abstract

In \cite{cl05} 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 \cite{atw93}.

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