3 papers
math.DG2023
Dimension-Dependent Asymptotic Dynamics for Mean Curvature Flow with Robin Boundary Conditions
Xinfu Chen, Bendong Lou, Xiaoliu Wang +1
We consider a graphical mean curvature flow in a cylinder with Robin boundary conditions, which arises as a geometric model for interface motion in the singular limit of the Allen-…
math.AP2021
Global dynamics of a parabolic type equation arising from the curvature flow
Xueli Bai, Fang Li, Xiaoliu Wang
This paper studies a type of degenerate parabolic problem with nonlocal term \begin{equation*} \begin{cases} u_t=u^p(u_{xx}+u-\bar{u}) & 0<t<T_{\max},\ 0<x<a, u_x(0,t)=u_x(a,t)=0 &…
math.DG2019
Convergence to the Grim Reaper for a Curvature Flow with Unbounded Boundary Slopes
Bendong Lou, Xiaoliu Wang, Lixia Yuan
We consider a curvature flow in the band domain , where, for a graphic curve , denotes its normal velocity and denotes its curvature. If $Γ_t…