SEMINAR:
Mathematics and Statistics colloquium
- Convex surfaces of constant Gauss curvature and partially free boundaries
Thu, 22 Aug 2019 16:00 - Blakers Lecture Theatre
Dr Aram Karakhanan
Consider a pair of parallel planes in and a strictly convex closed
curve laying on one of the planes. Is there a convex hypersurface of
constant Gauss curvature such that it is trapped between the planes,
the curve is on its boundary, and the surface strikes the other plane at
given constant angle? This problem can be viewed as a generalisation of
the Alt-Caffarelli problem for the Gauss curvature case. In this talk we
will discuss the existence of weak solutions and the regularity of the
free boundary, which is the unknown part of the boundary of surface.
For more information:
Ayham Zaitouny
ayham.zaitouny@uwa.edu.au
0420771505
Starts : Thu, 22 Aug 2019 16:00
Ends : Thu, 22 Aug 2019 17:00
Last Updated : Tue, 13 Aug 2019 11:07