4 problems

Let $D\subset\mathbb{R}^n$ be an optimization domain for the Neumann problem for the Laplace operator, and let $\varphi$ be a scalar phase-field with interpolation coefficient $a$…

The simulation uses parameters $\varepsilon=0.03$, $\lambda=0.1$, and $H_0=6$, with a topological constraint producing a dumbbell-like shape after suppressing pinch-off. Stationari…

Local-minimum conjecture. When this occurs, the optimization is most likely stuck near a local minimum of $F_{\varepsilon}$.

Let ${\epsilon_\xi}$ be the positive parameter controlling the thickness of the intermediate regions in the phase-field model, let $\xi(q)$ denote the corresponding finite-…