Symmetry and self-similarity in rupture and pinchoff: a geometric bifurcation

DOI10.1017/S0956792501004375zbMath1011.76068MaRDI QIDQ2749112

John R. Lister, D. Vaynblat, Thomas P. Witelski

Publication date: 2 June 2003

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

similarity solutionsviscous fluidbifurcation of rupturecapillary pinchofffree thin viscous sheetvan der Waals driven rupture

Mathematics Subject Classification ID

Thin fluid films (76A20) Incompressible viscous fluids (76D99) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Capillarity (surface tension) for incompressible viscous fluids (76D45) Bifurcations in context of PDEs (35B32) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (7)

Nonlinear higher-order boundary value problems describing thin viscous flows near edges ⋮ Nonlinear evolution of thin free viscous films in the presence of soluble surfactant ⋮ Stability and dynamics of self-similarity in evolution equations ⋮ Thin-film rupture for large slip ⋮ Asymptotic decay and non-rupture of viscous sheets ⋮ Newtonian pizza: spinning a viscous sheet ⋮ How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?

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