论文信息 - Evolution of open elastic curves in ℝn subject to fixed length and natural boundary conditions

Evolution of open elastic curves in ℝn subject to fixed length and natural boundary conditions

Abstract We consider regular open curves in ℝn with fixed boundary points, curvature equal to zero at the boundary, subject to a fixed length constraint and moving according to the L2-gradient flow of the elastic energy. For this flow we prove a long-time existence result and subconvergence to critical points.

Paola Pozzi | Anna Dall'Acqua | Chun-Chi Lin

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