A mean curvature type flow with capillary boundary in a unit ball
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2020
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910025013788672 |
|---|---|
| author | Wang, Guofang Weng, Liangjun |
| author_facet | Wang, Guofang Weng, Liangjun |
| contents | In this paper, we study a mean curvature type flow with capillary boundary in the unit ball. Our flow preserves the volume of the bounded domain enclosed by the hypersurface, and monotonically decreases an energy functional $E$. We show that it has the longtime existence and subconverges to spherical caps. As an application, we solve an isoperimetric problem for hypersurfaces with capillary boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_03118 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A mean curvature type flow with capillary boundary in a unit ball Wang, Guofang Weng, Liangjun Differential Geometry Analysis of PDEs 53C44, 35K93 In this paper, we study a mean curvature type flow with capillary boundary in the unit ball. Our flow preserves the volume of the bounded domain enclosed by the hypersurface, and monotonically decreases an energy functional $E$. We show that it has the longtime existence and subconverges to spherical caps. As an application, we solve an isoperimetric problem for hypersurfaces with capillary boundary. |
| title | A mean curvature type flow with capillary boundary in a unit ball |
| topic | Differential Geometry Analysis of PDEs 53C44, 35K93 |
| url | https://arxiv.org/abs/2001.03118 |