Seminár z kvalitatívnej teórie diferenciálnych rovníc

Štvrtok 3.10.2013 o 14:15 v posluchárni M-223

Peter Bella (Max Planck Institute, Leipzig):

Wrinkling of a Stretched Annular Elastic Thin Sheet -

Identification of the Optimal Scaling Law for the Ground State Energy

Abstrakt:

In [Bella & Kohn: Wrinkles as the result of compressive stresses in an

annular thin film, to appear in CPAM] we identified the optimal scaling

law of the minimum of the elastic energy of a stretched annular thin

elastic sheet. In this talk I will describe the next step towards the

understanding of this problem - I will identify the optimal prefactor

in the scaling law. Moreover, I will show that this prefactor can be

characterized as a minimum of a much simpler (scalar) variational problem.