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arxiv: 1905.06742 · v2 · pith:JKS7R74Rnew · submitted 2019-05-16 · 🧮 math.AP

A second order gradient flow of p-elastic planar networks

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keywords flowenergygradientorderp-elasticplanarsecondconsider
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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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