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