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.