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A gradient flow for the p-elastic energy defined on closed planar curves (1811.06608v1)
Published 15 Nov 2018 in math.DG and math.AP
Abstract: We study the evolution of closed inextensible planar curves under a second order flow that decreases the $p$-elastic energy. A short time existence result for $p \in (1,\infty)$ is obtained via a minimizing movements method. For $p = 2$, that is in the case of the classic elastic energy, long-time existence is retrieved.
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