Seminar series
Date
Mon, 14 Jan 2013
Time
17:00 -
18:00
Location
Gibson 1st Floor SR
Speaker
Jonathan Bevan
Organisation
University of Surrey
In this talk we show how degree N maps of the form $u_{N}(z) = \frac{z^{N}}{|z|^{N-1}}$ arise naturally as stationary points of functionals like the Dirichlet energy. We go on to show that the $u_{N}$ are minimizers of related variational problems, including one whose associated Euler-Lagrange equation bears a striking resemblance to a system studied by N. Meyers in the 60s, and another where the constraint $\det \nabla u = 1$ a.e. plays a prominent role.