Finite speed of propagation for the thin-film equation in the spherical geometry

UDC 517.953 We show that a double degenerate thin-film equation obtained in modeling of a flow of viscous coating on the spherical surface has a finite speed of propagation for nonnegative strong solutions and, hence, there exists an interface or a free boundary separating the regions, where the s...

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Bibliographic Details
Date:2019
Main Authors: Taranets, R. M., Таранець, Р. М.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1479
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal