Loading...
Please wait, while we are loading the content...
Similar Documents
DGD Days 2017 : Talks & Abstracts Wednesday , 4 th October 2017
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pedit, Franz Jabłoński, Grzegorz |
| Copyright Year | 2017 |
| Abstract | We will discuss a flow on closed planar curves and compact surfaces in Euclidean 3-space, both defined on a certain finite codimension submanifold in the Hilbert space of square integrable functions/densities. The flow moves a closed planar curve to a multiply wrapped circle or figure eight. There is evidence that genus zero surfaces in Euclidean 3-space of Willmore energy W < 16 pi flow to a round sphere (W=4 pi) or a round sphere with a sphere bubbling off (W=8 pi). The overall viewpoint is to replace the non-linear heat flow analysis for the gradient flow of the bending energy (which a priori experiences derivative loss) by standard ODE theory on Banach spaces, linear elliptic analysis, and the infinite dimensional geometry of the configurations spaces our flows move on. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.discretization.de/media/filer_public/2017/09/22/talks_with_abstracts_2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Synopsis |
