Quenching for axisymmetric hypersurfaces under forced mean curvature flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916086912385024 |
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| author | Mitake, Hiroyoshi Oka, Yusuke Tran, Hung Vinh |
| author_facet | Mitake, Hiroyoshi Oka, Yusuke Tran, Hung Vinh |
| contents | Here, we study the motion of axisymmetric hypersurfaces $\{Γ_t\}_{t\ge0}$ evolved by forced mean curvature flows in the periodic setting. We establish conditions that quenching occurs or does not occur in terms of the initial data and forcing term. We also study the locations where the quenching happens in some special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quenching for axisymmetric hypersurfaces under forced mean curvature flows Mitake, Hiroyoshi Oka, Yusuke Tran, Hung Vinh Analysis of PDEs Here, we study the motion of axisymmetric hypersurfaces $\{Γ_t\}_{t\ge0}$ evolved by forced mean curvature flows in the periodic setting. We establish conditions that quenching occurs or does not occur in terms of the initial data and forcing term. We also study the locations where the quenching happens in some special cases. |
| title | Quenching for axisymmetric hypersurfaces under forced mean curvature flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.05156 |