3 papers
math.AP2026
-convergence for nonlocal phase transitions involving the norm and surfactants
Giuliana Fusco, Tim Heilmann
We study functionals \begin{equation*} F_\varepsilon (u,ρ) := \frac{1}{\varepsilon} \int_ΩW(u) \, dx + \frac{1}{|\ln(\varepsilon)|} \int_Ω\int_Ω \frac{(u(y) - u(x))^2}{|y - x|^{N+1…
math.AP2025
-convergence for nonlocal phase transitions involving the norm
Tim Heilmann
We study functionals \begin{equation*} F_\varepsilon (u) := λ_\varepsilon \int_ΩW(u) \, dx + \varepsilon \|u\|_{H^{1/2}}^2 \end{equation*} for a double well potential and the G…
math.AP2024
Surfactants in a Non-local Model for Phase Transitions
Marco Cicalese, Tim Heilmann
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 p…