5 problems

Let $varepsilon>0$ denote the interfacial thickness parameter, and consider the stochastic Cahn–Hilliard equation with a non-vanishing noise term, meaning $gamma=0$. Let the stocha…

General sharp-interface limit conjecture. For $\mathbb{P}$-almost every $\mega$, as $\varepsilon\searrow0$, the chemical potential $v^\varepsilon(\mega)$ tends to a limit…

Let $V(t)$ solve the interface velocity law … where $F(t)$ is the forcing, and let $\mathcal{S}$ be the set of stable velocities. Theorem 1Dinterface describes the continuous evolu…

Let $\mathcal{D}$ be the spatial domain, let $\Gamma(t)$ be the limiting interface, let $v$ be the limiting chemical potential, let $H$ be the mean curvature, let $V$ be the normal…

Let $u_\varepsilon$ and $v_\varepsilon$ denote the concentration and chemical potential in the stochastic Cahn–Hilliard system, with noise strength $\varepsilon^\sigma$ and sharp-i…