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References

  • [1]
    L. Ansini and L. Giacomelli, Doubly nonlinear thin-film equation in one space dimension, Arch.Rat.Mech.Anal., to appear.
  • [2]
    D. G. Aronson, S. I. Betelu, M. A. Fontelos, and A. Sanchez, Analysis of the self-similar spreading of power law fluids, submitted.
  • [3]
    C. Bauer and S. Dietrich, Quantitative study of laterally inhomogeneous wetting films, Eur. Phys. J. B 10, 767779 (1999).
  • [4]
    J. Becker, PhD thesis, Bonn University, to appear.
  • [5]
    J. Becker and G. Grün, The thin film equation: recent advances and some new perspectives, submitted.
  • [6]
    J. Becker, G. Grün, R. Seemann, H. Mantz, K. Jacobs, K. R. Mecke, and R. Blossey, Complex dewetting scenarios captured by thin film models, Nature Materials 2, 5963 (2003).
  • [7]
    Ph. G. Ciarlet, The finite element method for elliptic problems (North Holland, Amsterdam, 1978).
  • [8]
    S. Dietrich and M. Rauscher, Flow over a sharp chemical step in lubrication approximation, in preparation.
  • [9]
    G. Grün, On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions, Math. Comp. 72, 12511279 (2003).
  • [10]
    G. Grün and M. Rumpf, Nonnegativity preserving convergent schemes for the thin film equation, Num. Math. 87, 113152 (2000).
  • [11]
    J. Israelachvili, Intermolecular and surface forces (Academic Press, 1992).
  • [12]
    J. R. King, Two generalizations of the thin-film equation, Math.Comput.Modelling 34, 737756 (2001).
  • [13]
    W. Koch, S. Dietrich, and M. Napiorkowski, Morphology and line tension of liquid films adsorbed on chemically structured substrates, Phys. Rev. E 51, 33003317 (1995).
  • [14]
    C. Neto, K. Jacobs, R. Seemann, R. Blossey, J. Becker, and G. Grün, Satellite hole formation during dewetting: experiment and simulation, J. Phys. Cond. Mat. 15, 33553366 (2003).
  • [15]
    A. Oron, S. H. Davis, and S. G. Bankoff, Long-scale evolution of thin liquid films, Reviews of Modern Physics 69, 932977 (1997).
  • [16]
    C. Schäfle, P. Leiderer, and C. Bechinger, Subpattern formation during condensation processes on structured substrates, Europhys. Lett. 63, 394400, (2003).
  • [17]
    V. Thomée, Galerkin finite element methods for parabolic problems (Springer, Berlin, 1997).