Thin film rupture

Applied Mathematics Letters

Volumn 9, Issue 3, 1996, Pages 35-40

  Ida, M P ^a   Miksis, M J ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001981199     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00028-6     Document Type: Article

References (11)

1. T.F. Dupont, R.E. Goldstein, L.P. Kadanoff and S.-M. Zhou, Finite-time singularity formation in Hele-Shaw systems, Phys. Rev. E 47, 4182-4196 (1993).
2. P. Constantin, T.F. Dupont, R.E. Goldstein, L.P. Kadnoff, M.J. Shelley and S.-M. Zhou, Droplet breakup in the model of the Hele-Shaw cell, Phys. Rev. E 47, 4169-4181 (1993).
3. R.E. Goldstein, A.I. Pesci and M.J. Shelley, Topology transitions and singularities in viscous flows, Phys. Rev. Lett. 70, 2043-2046 (1993).
4. J. Eggers, Universal pinching of 3D axisymmetric free surface flow, Phys. Rev. Lett. 71, 3458-3460 (1993).
5. J. Eggers and T.F. Dupont, Drop formation in a one-dimensional approximation of the Navier-Stokes equation, J. Fluid Mech. 262, 205-221 (1994).
6. T. Erneux and S.H. Davis, Nonlinear rupture of free films, Phys. Fluids A 5, 1117-1122 (1993).
7. A. J. Bernoff and A.L. Bertozzi, Singularities in a modified Kuramoto-Sivashinski equation describing interface motion for phase transition, Physica D 85, 375-404 (1995).
8. A.L. Bertozzi, Symmetric singularity formation in lubrication-type equations for interface motion, Preprint.
9. J.P. Burelbach, S.G. Bankoff and S.H. Davis, Nonlinear stability of evaporating/condensing liquid films, J. Fluid Mech. 195, 463-494 (1988).
10. G.I. Barenblatt and Ya.B. Zel'dovich, Self-similar solutions as intermediate asymptotics, Ann. Rev. Fluid Mech. 4, 285-312 (1972).
11. M.P. Ida, The dynamics of thin liquid films, Ph.D. Thesis, Northwestern University, (December 1995).