On the energy of a flow arising in shape optimization

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dc.creatorCardaliaguet, Pierre
dc.creatorLey, Olivier
dc.date2006-07-11
dc.date.accessioned2026-07-07T12:41:03Z
dc.date.available2026-07-07T12:41:03Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0607255
dc.identifierhttp://arxiv.org/abs/math/0607255
dc.identifierInterfaces Free Bound. 10, 2 (2008) 223-243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219642
dc.subjectAnalysis of PDEs
dc.subjectOptimization and Control
dc.titleOn the energy of a flow arising in shape optimization
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