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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.22368 |
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| _version_ | 1866911430233554944 |
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| author | Park, Junyoung |
| author_facet | Park, Junyoung |
| contents | In the first part of the paper, we prove the existence of longtime solution to mean curvature flow starting from a graph of a continuous function defined over a slab. Then, we establish dynamical stability results for various types of graphical translators to mean curvature flow, namely the grim reaper, two dimensional graphical translators, and asymptotically cylindrical translators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22368 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamical stability of various convex graphical translators Park, Junyoung Differential Geometry Analysis of PDEs In the first part of the paper, we prove the existence of longtime solution to mean curvature flow starting from a graph of a continuous function defined over a slab. Then, we establish dynamical stability results for various types of graphical translators to mean curvature flow, namely the grim reaper, two dimensional graphical translators, and asymptotically cylindrical translators. |
| title | Dynamical stability of various convex graphical translators |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2601.22368 |