Non-parametric mean curvature flow with prescribed contact angle in Riemannian products

Assuming that there exists a translating soliton u(infinity) with speed C in a domain Omega and with prescribed contact angle on partial derivative Omega, we prove that a graphical solution to the mean curvature flow with the same prescribed contact angle converges to u(infinity) + Ct as t -> infinity. We also generalize the recent existence result of Gao, Ma, Wang and Weng to non-Euclidean settings under suitable bounds on convexity of Omega and Ricci curvature in Omega.Peer reviewe