The harmonic mean curvature flow of nonconvex surfaces in $\mathbb{R}^3$
| dc.creator | Daskalopoulos, Panagiota | |
| dc.creator | Sesum, Natasa | |
| dc.date | 2008-06-10 | |
| dc.date | 2008-09-03 | |
| dc.date.accessioned | 2026-07-07T09:59:52Z | |
| dc.date.available | 2026-07-07T09:59:52Z | |
| dc.description | We consider a compact, star-shaped, mean convex hypersurface $Σ^2\subset \mathbb{R}^3$. We prove that in some cases the flow exists until it shrinks to a point in a spherical manner, which is very typical for convex surfaces as well (see \cite{An1}). We also prove that in the case we have a surface of revolution which is star-shaped and mean convex, a smooth solution always exists up to some finite time $T < \infty$ at which the flow shrinks to a point asymptotically spherically. | |
| dc.identifier | https://arxiv.org/abs/0806.1758 | |
| dc.identifier | http://arxiv.org/abs/0806.1758 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168182 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C44 | |
| dc.title | The harmonic mean curvature flow of nonconvex surfaces in $\mathbb{R}^3$ | |
| dc.type | text |