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OS Analysis-Probability: Anna Dall'Acqua (Universität Ulm): Elastic Graphs with clamped boundary
Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, G3 10 (Hörsaal)
Vortrag in der Reihe: OS Analysis-Probability 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.
Beginn: March 21, 2023, 3:15 p.m.
Ende: March 21, 2023, 4:45 p.m.