Tim Heilmann

activity

20242026

collaborators

4 papers

math.AP2026

$I^$ -convergence for nonlocal phase transitions involving the $H^{1/2}$ norm and surfactants

Giuliana Fusco, Tim Heilmann

We study functionals \begin{equation*} F_\varepsilon (u,Ï) := \frac{1}{\varepsilon} \int_Î©W(u) \, dx + \frac{1}{|\ln(\varepsilon)|} \int_Î©\int_Î© \frac{(u(y) - u(x))^2}{|y - x|^…

math.AP2025

$I^$ -convergence for nonlocal phase transitions involving the $H^{1/2}$ norm

Tim Heilmann

We study functionals \begin{equation*} F_\varepsilon (u) := Î»_\varepsilon \int_Î©W(u) \, dx + \varepsilon \|u\|_{H^{1/2}}^2 \end{equation*} for a double well potential $W$ and the…

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…

math.AP2024

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-…

I^-convergence for nonlocal phase transitions involving the H1/2 norm and surfactants

I^-convergence for nonlocal phase transitions involving the H1/2 norm

Surfactants in a Non-local Model for Phase Transitions

Surfactants in the Two Gradient Theory of Phase Transitions

$I^$ -convergence for nonlocal phase transitions involving the $H^{1/2}$ norm and surfactants

$I^$ -convergence for nonlocal phase transitions involving the $H^{1/2}$ norm