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Volumn 78, Issue 4, 2013, Pages 762-776

A homotopy continuation approach for analysing finite-time singularities in thin liquid films

Author keywords

homotopy approach; self similar solutions; thin films

Indexed keywords

CONTINUATION TECHNIQUES; DESTABILIZING INFLUENCES; FINITE TIME SINGULARITY; FINITE-DIFFERENCE SCHEME; HOMOTOPY APPROACH; HOMOTOPY CONTINUATION; SELF-SIMILAR SOLUTION; VAN DER WAALS INTERACTIONS;

EID: 84880569410     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxt021     Document Type: Article
Times cited : (19)

References (33)
  • 3
    • 68649083317 scopus 로고    scopus 로고
    • Dynamics and stability of thin liquid films
    • Craster, R. V. &Matar, O. K. (2009) Dynamics and stability of thin liquid films. Rev. Mod. Phys., 81, 1131-1198.
    • (2009) Rev. Mod. Phys. , vol.81 , pp. 1131-1198
    • Craster, R.V.1    Matar, O.K.2
  • 4
    • 1842695585 scopus 로고
    • Wetting: Statics and dynamics
    • de Gennes, P-G. (1985) Wetting: Statics and dynamics. Rev. Mod. Phys., 57, 827-863.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 827-863
    • De Gennes, P.-G.1
  • 5
    • 0000378937 scopus 로고
    • Numerical analysis and control of bifurcation problems Bifurcation in finite dimensions
    • Doedel, E., Keller, H B. & Kernevez, J. P. (1991) Numerical analysis and control of bifurcation problems (I Bifurcation in finite dimensions. Int. J. Bifurcation Chaos, 1, 493-520.
    • (1991) Int. J. Bifurcation Chaos , vol.1 , pp. 493-520
    • Doedel, E.1    Keller, H.B.2    Kernevez, J.P.3
  • 7
    • 0001589281 scopus 로고    scopus 로고
    • Nonlinear dynamics and breakup of free-surface flows
    • Eggers, J. (1997) Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phys., 69, 865-929.
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 865-929
    • Eggers, J.1
  • 8
    • 36449004332 scopus 로고
    • Nonlinear rupture of free films
    • Erneux, T. & Davis, S. H. (1993) Nonlinear rupture of free films. Phys. Fluids, 5, 1117-1122.
    • (1993) Phys. Fluids , vol.5 , pp. 1117-1122
    • Erneux, T.1    Davis, S.H.2
  • 9
    • 1642308899 scopus 로고    scopus 로고
    • Biofluid mechanics in flexible tubes
    • Grotberg, J. B. & Jensen, O. E. (2004) Biofluid mechanics in flexible tubes. Annu. Rev. FluidMech., 36, 121-147.
    • (2004) Annu. Rev. FluidMech. , vol.36 , pp. 121-147
    • Grotberg, J.B.1    Jensen, O.E.2
  • 12
    • 0026803604 scopus 로고
    • Insoluble surfactant spreading on a thin viscous film: Shock evolution and film rupture
    • Jensen, O. E. & Grotberg, J. B. (1992) Insoluble surfactant spreading on a thin viscous film: Shock evolution and film rupture. J. Fluid Mech., 240, 259-288.
    • (1992) J. Fluid Mech. , vol.240 , pp. 259-288
    • Jensen, O.E.1    Grotberg, J.B.2
  • 13
    • 0034412533 scopus 로고    scopus 로고
    • Linear stability of steady states for thin film and Cahn-Hilliard type equations
    • Laugesen, R. & Pugh, M. (2000) Linear stability of steady states for thin film and Cahn-Hilliard type equations. Arch. Ration. Mech. Anal., 154, 3-51.
    • (2000) Arch. Ration. Mech. Anal. , vol.154 , pp. 3-51
    • Laugesen, R.1    Pugh, M.2
  • 14
    • 0036647446 scopus 로고    scopus 로고
    • Energy levels of steady states for thin-film-type equations
    • Laugesen, R. S. & Pugh, M. C. (2002) Energy levels of steady states for thin-film-type equations. J. Differential Equations, 182, 377-415.
    • (2002) J. Differential Equations , vol.182 , pp. 377-415
    • Laugesen, R.S.1    Pugh, M.C.2
  • 15
    • 11044224589 scopus 로고    scopus 로고
    • Rupture of a surfactant-covered thin liquid film on a flexible wall
    • Matar, O. & Kumar, S. (2004) Rupture of a surfactant-covered thin liquid film on a flexible wall. SIAM J. Appl. Math., 64, 2144-2166.
    • (2004) SIAM J Appl. Math. , vol.64 , pp. 2144-2166
    • Matar, O.1    Kumar, S.2
  • 16
    • 0033924131 scopus 로고    scopus 로고
    • Nonlinear dynamics of three-dimensional long-wave Marangoni instability in thin liquid films
    • Oron, A. (2000) Nonlinear dynamics of three-dimensional long-wave Marangoni instability in thin liquid films. Phys. Fluids, 12, 1633-1645.
    • (2000) Phys. Fluids , vol.12 , pp. 1633-1645
    • Oron, A.1
  • 17
    • 0031480080 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films
    • Oron, A., Davis, S. H. & Bankoff, S. G. (1997) Long-scale evolution of thin liquid films. Rev. Mod. Phys., 69, 931-980.
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 931-980
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 18
    • 0029169148 scopus 로고
    • On the breakup of viscous liquid threads
    • Papageorgiou, D. T. (1995) On the breakup of viscous liquid threads. Phys. Fluids, 7, 1529-1544.
    • (1995) Phys. Fluids , vol.7 , pp. 1529-1544
    • Papageorgiou, D.T.1
  • 19
    • 28844509711 scopus 로고    scopus 로고
    • Gravity capillary waves in fluid layers under normal electric fields
    • Papageorgiou, D. T., Petropoulos, P. G. & Vanden-Broeck, J. M. (2005) Gravity capillary waves in fluid layers under normal electric fields. Phys. Rev. E, 72, 051601.
    • (2005) Phys. Rev. E , vol.72 , pp. 051601
    • Papageorgiou, D.T.1    Petropoulos, P.G.2    Vanden-Broeck, J.M.3
  • 21
    • 20544470638 scopus 로고    scopus 로고
    • Morphology changes in the evolution of liquid two-layer films
    • Pototsky, A., Bestehorn, M., Merkt, D. & Thiele, U. (2005) Morphology changes in the evolution of liquid two-layer films. J. Chem. Phys., 122, 224711.
    • (2005) J. Chem. Phys. , vol.122 , pp. 224711
    • Pototsky, A.1    Bestehorn, M.2    Merkt, D.3    Thiele, U.4
  • 22
    • 0021978994 scopus 로고
    • Mechanism of tear film rupture and its implications for contact-lens tolerance
    • Sharma, A. & Ruckenstein, E. (1985) Mechanism of tear film rupture and its implications for contact-lens tolerance. Amer. J. Optom. Physiol. Opt., 62, 246-253.
    • (1985) Amer. J. Optom. Physiol. Opt. , vol.62 , pp. 246-253
    • Sharma, A.1    Ruckenstein, E.2
  • 24
    • 77953280282 scopus 로고    scopus 로고
    • Thin film evolution equations from (evaporating) dewetting liquid layers to epitaxial growth
    • Thiele, U. (2010) Thin film evolution equations from (evaporating) dewetting liquid layers to epitaxial growth. J. Phys-Condens. Matter, 22, 084019.
    • (2010) J. Phys-Condens. Matter , vol.22 , pp. 084019
    • Thiele, U.1
  • 25
    • 1142303895 scopus 로고    scopus 로고
    • Thin liquid films on a slightly inclined heated plate
    • Thiele, U. & Knobloch, E. (2004) Thin liquid films on a slightly inclined heated plate. Phys. D, 190, 213-248.
    • (2004) Phys. D , vol.190 , pp. 213-248
    • Thiele, U.1    Knobloch, E.2
  • 26
    • 35348950013 scopus 로고    scopus 로고
    • Nonlinear dynamics of electrified thin liquid films
    • Tseluiko, D. & Papageorgiou, D. T. (2006) Nonlinear dynamics of electrified thin liquid films. SIAM J. Appl. Math., 67, 1310-1329.
    • (2006) SIAM J Appl. Math. , vol.67 , pp. 1310-1329
    • Tseluiko, D.1    Papageorgiou, D.T.2
  • 27
    • 0035339756 scopus 로고    scopus 로고
    • Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity
    • Vaynblat, D., Lister, J. R. & Witelski, T. P. (2001) Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity. Phys. Fluids, 13, 1130-1140.
    • (2001) Phys. Fluids , vol.13 , pp. 1130-1140
    • Vaynblat, D.1    Lister, J.R.2    Witelski, T.P.3
  • 28
    • 17444428637 scopus 로고    scopus 로고
    • Electric field induced instability and pattern formation in thin liquid films
    • Verma, R., Sharma, A., Kargupta, K. & Bhaumik, J. (2005) Electric field induced instability and pattern formation in thin liquid films. Langmuir, 21, 3710-3721.
    • (2005) Langmuir , vol.21 , pp. 3710-3721
    • Verma, R.1    Sharma, A.2    Kargupta, K.3    Bhaumik, J.4
  • 29
    • 79959954967 scopus 로고    scopus 로고
    • Interfacial thin films rupture and self-similarity
    • Ward, M. H. (2011) Interfacial thin films rupture and self-similarity. Phys. Fluids, 23, 062105.
    • (2011) Phys. Fluids , vol.23 , pp. 062105
    • Ward, M.H.1
  • 31
    • 0000411594 scopus 로고    scopus 로고
    • Stability of self-similar solutions for van der Waals driven thin film rupture
    • Witelski, T. & Bernoff, A. (1999) Stability of self-similar solutions for van der Waals driven thin film rupture. Phys. Fluids, 11, 2443-2445.
    • (1999) Phys. Fluids , vol.11 , pp. 2443-2445
    • Witelski, T.1    Bernoff, A.2
  • 32
    • 0034517240 scopus 로고    scopus 로고
    • Dynamics of three-dimensional thin film rupture
    • Witelski, T. & Bernoff, A. (2000) Dynamics of three-dimensional thin film rupture. Physica D, 147, 155-176.
    • (2000) Physica D , vol.147 , pp. 155-176
    • Witelski, T.1    Bernoff, A.2
  • 33
    • 0000079826 scopus 로고    scopus 로고
    • Similarity solutions for van der Waals rupture of a thin film on a solid substrate
    • Zhang, W. & Lister, J. (1999) Similarity solutions for van der Waals rupture of a thin film on a solid substrate. Phys. Fluids, 11, 2454-2462.
    • (1999) Phys. Fluids , vol.11 , pp. 2454-2462
    • Zhang, W.1    Lister, J.2


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