Contraction of Convex Hypersurfaces in $\mathbb R^3$ by Powers of Principal Curvatures
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916412480552960 |
|---|---|
| author | Hosseini, Meraj |
| author_facet | Hosseini, Meraj |
| contents | We study the contraction of strictly convex, axially symmetric hypersurfaces by a non-symmetric, non-homogeneous, fully nonlinear function of curvature. Starting from axially symmetric hypersurfaces with even profile curves, we show evolving hypersurfaces converge to a point in a finite time, and under proper rescaling, solutions will converge to a convex hypersurface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18381 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Contraction of Convex Hypersurfaces in $\mathbb R^3$ by Powers of Principal Curvatures Hosseini, Meraj Analysis of PDEs We study the contraction of strictly convex, axially symmetric hypersurfaces by a non-symmetric, non-homogeneous, fully nonlinear function of curvature. Starting from axially symmetric hypersurfaces with even profile curves, we show evolving hypersurfaces converge to a point in a finite time, and under proper rescaling, solutions will converge to a convex hypersurface. |
| title | Contraction of Convex Hypersurfaces in $\mathbb R^3$ by Powers of Principal Curvatures |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.18381 |