| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 58 | |
| Number of page(s) | 21 | |
| DOI | https://doi.org/10.1051/cocv/2025046 | |
| Published online | 16 July 2025 | |
Surfactants in a non-local model for phase transitions
Zentrum Mathematik – M7, Technische Universität München, Boltzmannstrasse 3, 85748 Garching, Germany
* Corresponding author: heilmant@ma.tum.de
Received:
13
January
2025
Accepted:
12
May
2025
We investigate the influence of surfactants on stabilizing the formation of interfaces in nonlocal 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 Γ-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.
Mathematics Subject Classification: 49J45 / 74Q05 / 49J10 / 74B15
Key words: Phase transitions / surfactants / Γ-convergence
© The authors. Published by EDP Sciences, SMAI 2025
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