Derives a bulk-surface phase-field model for two-phase Navier-Stokes flow in a moving domain with dynamic contact angles and generalized slip, obtained from mass balance via Lagrange multipliers and energetic variational methods, generalizing prior static-boundary models.
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A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction
Derives a bulk-surface phase-field model for two-phase Navier-Stokes flow in a moving domain with dynamic contact angles and generalized slip, obtained from mass balance via Lagrange multipliers and energetic variational methods, generalizing prior static-boundary models.