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Minimal surfaces on mirror-symmetric frames: A fluid dynamics analogy

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dc.contributor.author Alimov M.M.
dc.contributor.author Bazilevsky A.V.
dc.contributor.author Kornev K.G.
dc.date.accessioned 2021-02-24T20:32:48Z
dc.date.available 2021-02-24T20:32:48Z
dc.date.issued 2020
dc.identifier.issn 0022-1120
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/160816
dc.description.abstract © The Author(s), 2020. Chaplygin's hodograph method of classical fluid mechanics is applied to explicitly solve the Plateau problem of finding minimal surfaces. The minimal surfaces are formed between two mirror-symmetric polygonal frames having a common axis of symmetry. Two classes of minimal surfaces are found: the class of regular surfaces continuously connecting the supporting frames forming a tube with complex shape; and the class of singular surfaces which have a partitioning film closing the tube in between. As an illustration of the general solution, minimal surfaces supported by triangular frames are fully described. The theory is experimentally validated using soap films. The general solution is compared with the known particular solutions obtained by the Weierstrass inverse method.
dc.relation.ispartofseries Journal of Fluid Mechanics
dc.subject foams
dc.subject general fluid mechanics
dc.subject thin films
dc.title Minimal surfaces on mirror-symmetric frames: A fluid dynamics analogy
dc.type Article
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS00221120-2020-SID85087613683

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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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