论文标题
riemannian产品中的非参数平均曲率流具有规定的接触角
Non-parametric mean curvature flow with prescribed contact angle in Riemannian products
论文作者
论文摘要
Assuming that there exists a translating soliton $u_\infty$ with speed $C$ in a domain $Ω$ and with prescribed contact angle on $\partialΩ$, we prove that a graphical solution to the mean curvature flow with the same prescribed contact angle converges to $u_\infty +Ct$ as $t\to\infty$.我们还概括了Gao，Ma，Wang和Weng的最新存在结果，以$ω$和RICCI曲率在$ω$中的凸度下，在适当的界限下为非欧国人设置。
Assuming that there exists a translating soliton $u_\infty$ with speed $C$ in a domain $Ω$ and with prescribed contact angle on $\partialΩ$, 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 existence result of Gao, Ma, Wang and Weng to non-Euclidean settings under suitable bounds on convexity of $Ω$ and Ricci curvature in $Ω$.
