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On the energy of a flow arising in shape optimization

dc.contributor.authorCardaliaguet, Pierre
dc.contributor.authorLey, Olivier
dc.date.accessioned2011-09-06T15:47:53Z
dc.date.available2011-09-06T15:47:53Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6928
dc.language.isoenen
dc.subjectexterior Bernoulli free boundaryen
dc.subjectviscosity solutionsen
dc.subjectOptimizationen
dc.subject.ddc515en
dc.titleOn the energy of a flow arising in shape optimizationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn Cardaliaguet-Ley (2006) 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 decreasing along the flow. This justifies the "gradient flow" approach for such kind of problem. The proof relies on the construction of a discrete gradient flow in the flavour of Almgren-Taylor-Wang (1993) and on proving it converges to the viscosity solution.en
dc.relation.isversionofjnlnameInterfaces and free boundaries
dc.relation.isversionofjnlvol10en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages223-243en
dc.relation.isversionofdoihttp://dx.doi.org/10.4171/IFB/187en
dc.identifier.urlsitehttp://arxiv.org/abs/math/0607255v1en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherEuropean Mathematical Societyen
dc.subject.ddclabelAnalyseen


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