Thin-film rupture for large slip

DOI10.1007/s10665-009-9342-7zbMath1188.76192OpenAlexW2127563470MaRDI QIDQ976804

Barbara Niethammer, Dirk Peschka, Andreas Münch

Publication date: 16 June 2010

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-009-9342-7

zbMATH Keywords

self-similarityasymptotic behavior of solutionslubrication theoryjet break-upself-similar solutions of second kind

Mathematics Subject Classification ID

Thin fluid films (76A20) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55)

Related Items

Impact of interfacial slip on the stability of liquid two-layer polymer films, Coarsening dynamics of slipping droplets, Similarity: Generalizations, applications and open problems, Asymptotic decay and non-rupture of viscous sheets, The Structure of a Dewetting Rim with Strong Slip: The Long-Time Evolution, Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows, Thermal rupture of a free liquid sheet, How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?

Cites Work

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• Coarsening dynamics of slipping droplets
• Non-self-similar behavior in the LSW theory of Ostwald ripening
• Dynamics of three-dimensional thin film rupture
• Thin film rupture
• Lubrication models with small to large slip lengths
• Contact-line instability of dewetting thin films
• Symmetry and self-similarity in rupture and pinchoff: a geometric bifurcation
• Nonlinear dynamics and breakup of free-surface flows
• Self-similar rupture of viscous thin films in the strong-slip regime
• Stability of self-similar solutions for van der Waals driven thin film rupture
• Similarity solutions for van der Waals rupture of a thin film on a solid substrate
• Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity
• Nonlinear rupture of free films
• On the breakup of viscous liquid threads
• Pinching threads, singularities and the number 0.0304...
• Finite time breakup of viscous filaments