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| We study a phase field model for the mixture of two incompressible fluids, typically air and water. Moreover we add a species with surfactant properties. The incompressible Navier-Stokes equations coupled with Allen-Cahn or Cahn-Hilliard equation are presented with supplementary equations for the surfactant concentrations.
The model is based on an energetic variational formulation. Moreover since the method is based on the use of a diffuse interface, it allows an implementation using finite element techniques. An application about bubble of soap is presented in collaboration with the physical institut of Rennes in France. |
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