| Abstract: |
| 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 the uniqueness and the convexity can be lost in depending on the conditions of the contact angles. The talk is based on a joint work with Yoshihito Kohsaka (Kobe
University). |
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