A capillarity model for soap films

dc.contributor.advisorMaggi, Francesco, 1978-
dc.contributor.committeeMemberCaffarelli, Luis
dc.contributor.committeeMemberVasseur, Alexis
dc.contributor.committeeMemberDe Philippis, Guido
dc.creatorKing, Darren Andrew
dc.date.accessioned2022-07-19T22:53:56Z
dc.date.available2022-07-19T22:53:56Z
dc.date.created2021-08
dc.date.issued2022-02-27
dc.date.submittedAugust 2021
dc.date.updated2022-07-19T22:53:57Z
dc.description.abstractWe study a variational model for soap films based on capillarity theory and its relation to minimal surfaces. Here soap films are modeled, not as surfaces, but as regions of small volume satisfying a homotopic spanning condition. The addition of a volume constraint adds a length scale to the Plateau problem, and has the potential to better describe the effect of surface tension on thin films by capturing behaviors related to thickness that are inaccessible by surface models.
dc.description.departmentMathematics
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2152/114974
dc.identifier.urihttp://dx.doi.org/10.26153/tsw/41877
dc.language.isoen
dc.subjectMinimal surfaces
dc.subjectSoap films
dc.subjectPlateau's problem
dc.subjectCapillarity
dc.titleA capillarity model for soap films
dc.typeThesis
dc.type.materialtext
thesis.degree.departmentMathematics
thesis.degree.disciplineMathematics
thesis.degree.grantorThe University of Texas at Austin
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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