On the absence of marginal pinching in thin free films

European Journal of Applied Mathematics

Volumn 16, Issue 5, 2005, Pages 569-582

  Howell, P D ^a   Stone, H A ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32944470521     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S095679250500625X     Document Type: Article

References (12)

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2. -2(∂w/∂.x)] - ∂u/∂t = 0. J. Math. Phys. 21, 1019-1023.
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4. BREWARD, C. J. W. & HOWELL, P. D. (2002) The drainage of a foam lamella. J. Fluid Mech. 458, 379-406.
5. BROWN, D. R. (1961) A study of the behaviour of a thin sheet of moving liquid. J. Fluid Mech. 10, 297-305.
6. CHOMAZ, J.-M. (2001) The dynamics of a viscous soap film with soluble surfactant. J. Fluid Mech. 442, 387-409.
7. ERNEUX, T. & DAVIS, S. H. (1993) Nonlinear rupture of free films. Phys. Fluids A 5, 1117-1122.
8. GRADSHTEYN, I. S. & RYZHIK, I. M. (1994) Table of Integrals, Series, and Products. Fifth Edition. Academic Press.
9. HOWELL, P. D. (1996) Models for thin viscous sheets. Euro. J. Appl. Math. 7, 321-343.
10. KOEHLER, S. A., HILGENFELDT, S., WEEKS, E. R., & STONE, H. A. (2002) Drainage of single plateau borders: Direct observation of rigid and mobile interfaces. Phys. Rev. E 66, 040601.
11. MYSELS, K. J., SHINODA, K. & FRANKEL, S. (1959) Soap Films, Studies of Their Thinning and a Bibliography. Pergamon Press.
12. ORON, A., DAVIS, S. H. & BANKOFF, S. G. (1997) Long-scale evolution of thin liquid films. Rev. Modern Phys. 69, 931-980.