5 papers
-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…
-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…
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…
A notion of -fractional mass for -currents in higher codimension
Marco Cicalese, Tim Heilmann, Andrea Kubin +2
In this paper we propose a notion of -fractional mass for -currents in . Such a notion generalizes the notion of -fractional perimeters for sets in the plane to high…
Surfactants in the Two Gradient Theory of Phase Transitions
Marco Cicalese, Tim Heilmann
We investigate the influence of surfactants on stabilizing the formation of interfaces in solid-solid phase transitions. The analysis focuses on singularly perturbed van der Waals-…