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We study the evolution of closed inextensible planar curves under a secondorder flow that decreases the $p$-elastic energy. A short time existence resultfor $p \in (1,\infty)$ is obtained via a minimizing movements method. For $p =2$, that is in the case of the classic elastic energy, long-time existence isretrieved.

A gradient flow for the p-elastic energy defined on closed planar curves