| Abstract: |
| In this talk, I will discuss the existence of solutions to the negative $L^2$-gradient flow of the $p$-elastic energy for the class of inextensible planar closed or open curves. For open curves, the boundary conditions correspond to either hinged ends (i.e., zero curvature at their boundaries) or clamped ends (i.e., fixed contact angles at their boundaries). We show the existence of weak solutions to the negative $L^2$-gradient flow for $p\in(1,\infty)$. |
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