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All issues Volume 6 / No 1 (2011) Math. Model. Nat. Phenom., 6 1 (2011) 62-86 References
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Issue
Math. Model. Nat. Phenom.
Volume 6, Number 1, 2011
Instability and patterns. Issue dedicated to the memory of A. Golovin
Page(s) 62 - 86
DOI https://doi.org/10.1051/mmnp/20116104
Published online 09 June 2010
  1. D.M. Anderson, G.B. McFadden, A.A. Wheeler. Diffuse-Interface methods in fluid mechanics. Ann. Rev. Fluid Mech., 30 (1998), 139–165. [CrossRef] [Google Scholar]
  2. L.K. Antanovskii. Microscale theory of surface tension. Phys. Rev. E, 54 (1996), 6285–6290. [CrossRef] [Google Scholar]
  3. D. Bandyopadhyay, R. Gulabani, A. Sharma. Stability and dynamics of bilayers. Ind. Eng. Chem. Res., 44 (2005), 1259–1272. [Google Scholar]
  4. K.-J. Bathe. Finite element procedures. Prentice-Hall, New Jersey, 2nd edition, 1995. [Google Scholar]
  5. K. Binder. Spinodal decomposition in confined geometry. J. Non-Equilib. Thermodyn., 23 (1998), 1–44. [Google Scholar]
  6. L. Brusch, H. Kühne, U. Thiele, M. Bär. Dewetting of thin films on heterogeneous substrates: Pinning vs. coarsening. Phys. Rev. E, 66 (2002), 011602. [CrossRef] [Google Scholar]
  7. J.W. Cahn, J.E. Hilliard. Free energy of a nonuniform System. 1. Interfacual free energy. J. Chem. Phys., 28 (1958), 258–267. [CrossRef] [Google Scholar]
  8. H.P. Fischer, P. Maass, W. Dieterich. Novel surface modes in spinodal decomposition. Phys. Rev. Lett., 79 (1997), 893–896. [CrossRef] [Google Scholar]
  9. H.P. Fischer, P. Maass, W. Dieterich. Diverging time and length scales of spinodal decomposition modes in thin films. Europhys. Lett., 42 (1998), 49–54. [Google Scholar]
  10. L.S. Fisher, A.A. Golovin. Nonlinear stability analysis of a two-layer thin liquid film: Dewetting and autophobic behavior. J. Colloid Interface Sci., 291 (2005), 515–528. [CrossRef] [PubMed] [Google Scholar]
  11. L.S. Fisher, A.A. Golovin. Instability of a two-layer thin liquid film with surfactants: Dewetting waves. J. Colloid Interface Sci., 307 (2007), 203–214. [CrossRef] [PubMed] [Google Scholar]
  12. O.A. Frolovskaya, A.A. Nepomnyashchy, A. Oron, A.A. Golovin. Stability of a two-layer binary-fluid system with a diffuse interface. Phys. Fluids, 20 (2008), 112105. [CrossRef] [Google Scholar]
  13. M. Geoghegan, G. Krausch. Wetting at polymer surfaces and interfaces. Prog. Polym. Sci., 28 (2003), 261–302. [CrossRef] [Google Scholar]
  14. A.A. Golovin, S.H. Davis, A.A. Nepomnyashchy. A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth. Physica D, 122 (1998), 202–230. [CrossRef] [MathSciNet] [Google Scholar]
  15. A.A. Golovin, A.A. Nepomnyashchy, S.H. Davis, M.A. Zaks. Convective Cahn-Hilliard models: From coarsening to roughening. Phys. Rev. Lett., 86 (2001), 1550–1553. [CrossRef] [PubMed] [Google Scholar]
  16. L.V. Govor, J. Parisi, G.H. Bauer, G. Reiter. Instability and droplet formation in evaporating thin films of a binary solution. Phys. Rev. E, 71 (2005), 051603. [CrossRef] [Google Scholar]
  17. P.C. Hohenberg, B.I. Halperin. Theory of dynamic critical phenomena. Rev. Mod. Phys., 49 (1977), 435–479. [CrossRef] [Google Scholar]
  18. K.D. Jandt, J. Heier, F.S. Bates, E.J. Kramer. Transient surface roughening of thin films of phase separating polymer mixtures. Langmuir, 12 (1996), 3716–3720. [CrossRef] [Google Scholar]
  19. D. Jasnow, J. Viñals. Coarse-grained description of thermo-capillary flow. Phys. Fluids, 8 (1996), 660–669. [CrossRef] [Google Scholar]
  20. R.A.L. Jones, L.J. Norton, E.J. Kramer, F.S. Bates, P. Wiltzius. Surface-directed spinodal decomposition. Phys. Rev. Lett., 66 (1991), 1326–1329. [CrossRef] [PubMed] [Google Scholar]
  21. S. Kalliadasis, U. Thiele (eds.). Thin Films of Soft Matter. Springer, Wien / New York, CISM 490, 2007. [Google Scholar]
  22. K. Kargupta, R. Konnur, A. Sharma. Instability and pattern formation in thin liquid films on chemically heterogeneous substrates. Langmuir, 16 (2000), 10243–10253. [CrossRef] [Google Scholar]
  23. K. Kargupta, A. Sharma. Templating of thin films induced by dewetting on patterned surfaces. Phys. Rev. Lett., 86 (2001), 4536–4539. [CrossRef] [PubMed] [Google Scholar]
  24. A. Karim, J.F. Douglas, B.P. Lee, S.C. Glotzer, J.A. Rogers, R.J. Jackman, E.J. Amis, G.M. Whitesides. Phase separation of ultrathin polymer-blend films on patterned substrates. Phys. Rev. E, 57 (1998), R6273–R6276. [CrossRef] [Google Scholar]
  25. R. Kenzler, F. Eurich, P. Maass, B. Rinn, J. Schropp, E. Bohl, W. Dieterich. Phase separation in confined geometries: Solving the Cahn-Hilliard equation with generic boundary conditions. Comp. Phys. Comm., 133 (2001), 139–157. [Google Scholar]
  26. T. Kerle, J. Klein, R. Yerushalmi-Rozen. Accelerated rupture at the liquid/liquid interface. Langmuir, 18 (2002), 10146–10154. [CrossRef] [Google Scholar]
  27. J.S. Langer. An introduction to the kinetics of first-order phase transitions. in ’Solids far from Equilibrium’ (ed. by Godreche), Cambridge University Press, (1992), 297–363. [Google Scholar]
  28. J. Lowengrub, L. Truskinovsky. Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Proc. R. Soc. London Ser. A-Math. Phys. Eng. Sci., 454 (1998), 2617–2654. [Google Scholar]
  29. S. Madruga, U. Thiele. Decomposition driven interface evolution for layers of binary mixtures: II. Influence of convective transport on linear stability. Phys. Fluids, 21 (2009), 062104. [CrossRef] [Google Scholar]
  30. S. Mechkov, M. Rauscher, S. Dietrich. Stability of liquid ridges on chemical micro- and nanostripes. Phys. Rev. E, 77 (2008), 061605. [CrossRef] [Google Scholar]
  31. P. Müller-Buschbaum, E. Bauer, S. Pfister, S.V. Roth, M. Burghammer, C. Riekel, C. David, U. Thiele. Creation of multi-scale stripe-like patterns in thin polymer blend films. Europhys. Lett., 73 (2006), 35–41. [CrossRef] [Google Scholar]
  32. G. Nisato, B.D. Ermi, J.F. Douglas, A. Karim. Excitation of surface deformation modes of a phase-separating polymer blend on a patterned substrate. Macromolecules, 32 (1999), 2356–2364. [CrossRef] [Google Scholar]
  33. A. Oron, S.H. Davis, S.G. Bankoff. Long-scale evolution of thin liquid films. Rev. Mod. Phys., 69 (1997), 931–980. [CrossRef] [Google Scholar]
  34. L.M. Pismen. Mesoscopic hydrodynamics of contact line motion. Colloid Surf. A-Physicochem. Eng. Asp., 206 (2002), 11–30. [Google Scholar]
  35. L.M. Pismen, Y. Pomeau. Disjoining potential and spreading of thin liquid layers in the diffuse interface model coupled to hydrodynamics. Phys. Rev. E, 62 (2000), 2480–2492. [CrossRef] [MathSciNet] [Google Scholar]
  36. A. Pototsky, M. Bestehorn, D. Merkt, U. Thiele. Alternative pathways of dewetting for a thin liquid two-layer film. Phys. Rev. E, 70 (2004), 025201. [Google Scholar]
  37. A. Pototsky, M. Bestehorn, D. Merkt, U. Thiele. Morphology changes in the evolution of liquid two-layer films. J. Chem. Phys., 122 (2005), 224711. [CrossRef] [PubMed] [Google Scholar]
  38. A. Pototsky, M. Bestehorn, D. Merkt, U. Thiele. 3D Surface Patterns in liquid two-layer films. Europhys. Lett., 74 (2006), 665–671. [CrossRef] [Google Scholar]
  39. U. Thiele, L. Brusch, M. Bestehorn, M. Bär. Modelling thin-film dewetting on structured substrates and templates: Bifurcation analysis and numerical simulations. Eur. Phys. J. E, 11 (2003), 255–271. [CrossRef] [EDP Sciences] [Google Scholar]
  40. U. Thiele, S. Madruga, L. Frastia. Decomposition driven interface evolution for layers of binary mixtures: I. Model derivation and stratified base states. Phys. Fluids, 19 (2007), 122106. [CrossRef] [Google Scholar]
  41. N. Vladimirova, A. Malagoli, R. Mauri. Diffusion-driven phase separation of deeply quenched mixtures. Phys. Rev. E, 58 (1998), 7691–7699. [CrossRef] [Google Scholar]
  42. N. Vladimirova, A. Malagoli, R. Mauri. Two-dimensional model of phase segregation in liquid binary mixtures. Phys. Rev. E, 60 (1999), 6968–6977. [CrossRef] [Google Scholar]
  43. H. Wang, R.J. Composto. Thin film polymer blends undergoing phase separation and wetting: Identification of early, intermediate, and late stages. J. Chem. Phys., 113 (2000), 10386–10397. [CrossRef] [Google Scholar]
  44. H. Wang, R.J. Composto. Understanding morphology evolution and roughening in phase-separating thin-film polymer blends. Europhys. Lett., 50 (2000), 622–627. [CrossRef] [Google Scholar]

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