A second order gradient flow of p-elastic planar networks

Matteo Novaga; Paola Pozzi

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arXiv · 1905.06742

A second order gradient flow of p-elastic planar networks

Matteo Novaga·Paola Pozzi

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Abstract

We consider a second order gradient flow of the p-elastic energy for a planar theta-network of three curves with fixed lengths. We construct a weak solution of the flow by means of an implicit variational scheme. We show long-time existence of the evolution and convergence to a critical point of the energy.

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Matteo Novaga, Paola Pozzi. 2019-05-16. A second order gradient flow of p-elastic planar networks. https://arxiv.org/abs/1905.06742

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