Existence of martingale solutions for a stochastic weighted mean curvature flow of graphs
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912643976003584 |
|---|---|
| author | Yan, Qi Li, Xiang-Dong |
| author_facet | Yan, Qi Li, Xiang-Dong |
| contents | We are concerned with a stochastic mean curvature flow of graphs with extra force over a periodic domain of any dimension. Based on compact embedding method of variational SPDE, we prove the existence of martingale solution. Moreover, we derive the small perturbation limit of the stochastic weighted mean curvature flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09383 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of martingale solutions for a stochastic weighted mean curvature flow of graphs Yan, Qi Li, Xiang-Dong Analysis of PDEs Probability 60H15, 60H30, 53E10 We are concerned with a stochastic mean curvature flow of graphs with extra force over a periodic domain of any dimension. Based on compact embedding method of variational SPDE, we prove the existence of martingale solution. Moreover, we derive the small perturbation limit of the stochastic weighted mean curvature flow. |
| title | Existence of martingale solutions for a stochastic weighted mean curvature flow of graphs |
| topic | Analysis of PDEs Probability 60H15, 60H30, 53E10 |
| url | https://arxiv.org/abs/2510.09383 |