Non-Parametric Mean Curvature Flow with Prescribed Contact Angle in Riemannian Products
Non-Parametric Mean Curvature Flow with Prescribed Contact Angle in Riemannian Products
Assuming that there exists a translating soliton $u_\infty$ with speed $C$ in a domain $\Omega$ and with prescribed contact angle on $\partial\Omega$, we prove that a graphical solution to the mean curvature flow with the same prescribed contact angle converges to $u_\infty +Ct$ as $t\to\infty$. We also generalize the recent …