Preprint
Inserted: 2 oct 2024
Last Updated: 2 oct 2024
Year: 2024
Abstract:
We investigate the influence of surfactants on stabilizing the formation of interfaces in non-local anisotropic two-phase fluid at equilibrium. The analysis focuses on singularly perturbed non-local van der Waals–Cahn–Hillard-type energies, supplemented with a term that accounts for the interaction between the surfactant and the fluid. We derive by $\Gamma$-convergence the effective surface tension model as the thickness of the transition layer vanishes and show that it decreases when the surfactant segregates to the interface.
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