solidot新版网站常见问题,请点击这里查看。

Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles. (arXiv:1810.02049v1 [math.AP])

来源于:arXiv
The traveling waves for surface diffusion of plane curves are studied. We consider an evolving plane curve with two endpoints, which can move freely on the x-axis with generating constant contact angles. For the evolution of this plane curve governed by surface diffusion, we discuss the existence, the uniqueness and the convexity of traveling waves. The main results show that the uniqueness and the convexity can be lost in depending on the conditions of the contact angles, although the existence holds for any contact angles in the interval $(0,\pi/2)$. 查看全文>>