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A second order gradient flow of p-elastic planar networks

Published 16 May 2019 in math.AP | (1905.06742v2)

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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