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The level set method for motion by mean curvature

dc.contributor.authorColding, Tobias
dc.contributor.otherUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.date.accessioned2018-11-16T09:39:04Z
dc.date.available2018-11-16T09:39:04Z
dc.date.issued2018-05-18
dc.identifier.urihttp://hdl.handle.net/2117/124553
dc.descriptionTobias Colding, born in Copenhagen, received his Ph.D. in 1992 at the University of Pennsylvania under Chris Croke. Since 2005 Colding has been a professor of mathematics at MIT. He was on the faculty at the Courant Institute of New York University in various positions from 1992 to 2008. In the early stage of his career, Colding did impressive work on manifolds with bounds on Ricci curvature. In 1998, he gave an invited address to the ICM in Berlin. He began coauthoring with William P. Minicozzi at this time: first on harmonic functions and later on minimal surfaces. In 2010 Tobias H. Colding received the Oswald Veblen Prize in Geometry together with William Minicozzi II for their profound work on minimal surfaces. Since 2008 he has been a Fellow of the American Academy of Arts and Sciences, and since 2006 a foreign member of the Royal Danish Academy of Sciences and Letters, and also since 2006 an honorary professor of University of Copenhagen, Denmark.
dc.description.abstractMany physical phenomema lead to tracking moving fronts whose speed depends on the curvature. The "level set method" has been tremendously succesful for this, but the solutions are typically only continuous. We will discuss results that show that the level set flow has twice differentiable solutions. This is optimal. These analytical questions crucially rely on understanding the underlying geometry. The proofs draws inspiration from real algebraic geometry and the theory of analytical functions.
dc.language.isoeng
dc.source.urihttps://zonavideo.upc.edu/video/60ae7f03a5ad8c585d69bdaf
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshNumerical analysis
dc.titleThe level set method for motion by mean curvature
dc.typeAudiovisual
dc.subject.lemacAnàlisi numèrica
dc.subject.amsClassificació AMS::65 Numerical analysis
dc.rights.accessOpen Access
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.format.size1280x720
dc.rightsHolderUniversitat Politècnica de Catalunya
local.ordre000003
dc.identifier.zonavideo60ae7f03a5ad8c585d69bdaf
dc.relation.ispartofserieszonavideoFME Col·loqui de matemàtiques FME-UPC
dc.subject.typezonavideoActes oficials i institucionals::Actes, jornades i conferències


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