Instability of the wet x soap film | Zendy

Kenneth A. Brakke | Zendy; Frank Morgan | Zendy

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Instability of the wet x soap film

Author(s) -

Kenneth A. Brakke,

Frank Morgan

Publication year - 1998

Publication title -

journal of geometric analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.156

H-Index - 47

eISSN - 1559-002X

pISSN - 1050-6926

DOI - 10.1007/bf02922669

Subject(s) - soap film , constant (computer programming) , gravitational singularity , instability , soap bubble , soap , materials science , mathematics , thin film , physics , mathematical analysis , mechanics , geometry , nanotechnology , computer science , world wide web , programming language

For idealized, infinitely thin (“dry”) soap films, an Xis unstable, while for very thick (“wet”) soap films it is minimizing. We show that for soap films of relatively small but positive wetness, the Xis unstable. Full stability diagrams for the constant liquid fraction case and the constant pressure case are generated. Analogous questions about other singularities remain controversial.

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