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Talk

Elastic Graphs with clamped boundary

  • Anna Dall'Acqua (Universität Ulm)
G3 10 (Lecture hall)

Abstract

In the Bernoulli model of an elastic rod described by a curve, the elastic energy is given by integral of the curvature squared with respect to arc-length. We study the minimization of this energy on curves given by the graph of a sufficiently smooth function satisfying Dirichlet boundary conditions. Using invariances of the problem, we are able to integrate the Euler-Lagrange equation once in two different ways. To illustrate the idea and the power of the method, we give also another application to unstable Willmore surfaces of revolution.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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