WIAS Preprint No. 2477, (2018)

Variational approach to contact line dynamics for thin films


Authors

  • Peschka, Dirk
    ORCID: 0000-0002-3047-1140

2010 Mathematics Subject Classification

  • 76A20 35R35 35K65 37D35

Keywords

  • Contact line, thin-film model, gradient flow

DOI

10.20347/WIAS.PREPRINT.2477

Abstract

This paper investigates a variational approach to viscous flows with contact line dynamics based on energy-dissipation modeling. The corresponding model is reduced to a thin-film equation and its variational structure is also constructed and discussed. Feasibility of this modeling approach is shown by constructing a numerical scheme in 1D and by computing numerical solutions for the problem of gravity driven droplets. Some implications of the contact line model are highlighted in this setting.

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