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Instability of the wet \(X\) soap film

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Publication:1568982
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DOI10.1007/BF02922669zbMath0965.53012MaRDI QIDQ1568982

Frank Morgan, Kenneth A. Brakke

Publication date: 22 June 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)


zbMATH Keywords

soap filmsconstant pressurestability diagramsconstant liquid fraction


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible viscous fluids (76D45)


Related Items

Geodesics and soap bubbles in surfaces



Cites Work

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  • The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
  • Clusters minimizing area plus length of singular curves
  • Soap bubbles in \(\mathbb{R}^ 2\) and in surfaces
  • On surface-minimizing polyhedral decompositions
  • On the first variation of a varifold
  • Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
  • The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature
  • Geodesics and soap bubbles in surfaces
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