Periodic traveling waves of a mean curvature flow in heterogeneous media
Periodic traveling waves of a mean curvature flow in heterogeneous media
We consider a curvature flow in heterogeneous media in the plane: $V= a(x,y) \kappa + b$, where for a plane curve, $V$ denotes itsnormal velocity, $\kappa$ denotes its curvature, $b$ is a constantand $a(x,y)$ is a positive function, periodic in $y$. We studyperiodic traveling waves which travel in $y$-direction with …