Dr. Jonathan Bevan (University of Surrey): Conditions for the Holder regularity of local minimizers of a nonlinear elastic energy in two dimensions
Wednesday, 23.11.2016 16:15 im Raum M5
We present conditions sufficient for the Holder regularity of minimizers of an energy which can model isotropic materials, including rubber. By hypothesizing that deformations map circles to suitably star-shaped sets, and then by applying an adapted elliptic regularity theory, we can overcome some of the technical difficulties that have long been associated with proving regularity of elastic energy minimizers. A practical demonstration of the theory is given in the class of `shear maps.