| Abstract: |
| In this work, we derive a two-dimension continuum model for wetting/dewetting on a thin, permeable and inextensible elastic sheet in a thermodynamically consistent framework. The derived model satisfies an energy dissipation law. We present an Eulerian weak formulation for the former and an arbitrary Langrangian-Eulerian weak formulation for the latter. The two weak formulations are discretized by finite element method on the moving mesh. Numerical experiments show the convergence and effectiveness of the numerical method. |
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