Convergence to the Grim Reaper for a Curvature Flow with Unbounded Boundary Slopes

Bendong Lou, Xiaoliu Wang, Lixia Yuan

We consider a curvature flow $V=H$ in the band domain $\Omega :=[-1,1]\times \mathbb{R}$, where, for a graphic curve ${\Gamma }_t$, $V$ denotes its normal velocity and $H$ denotes its curvature. If $Γ_t…