Existence of weak mean curvature flow with prescribed contact angle via elliptic regularization
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916509702422528 |
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| author | Tashiro, Kiichi |
| author_facet | Tashiro, Kiichi |
| contents | In the present paper, we study the existence of Brakke-type weak mean curvature flow satisfying the contact angle condition for general angle $ θ\in ( 0 , π) $ via Ilmanen's regularization. The main ingredients of the result are the establishment of a compactness theorem for varifolds with the contact angle and the extension of Ilmanen's regularization to the capillarity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12283 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of weak mean curvature flow with prescribed contact angle via elliptic regularization Tashiro, Kiichi Differential Geometry Analysis of PDEs 53E10 (primary), 28A75, 35K75 In the present paper, we study the existence of Brakke-type weak mean curvature flow satisfying the contact angle condition for general angle $ θ\in ( 0 , π) $ via Ilmanen's regularization. The main ingredients of the result are the establishment of a compactness theorem for varifolds with the contact angle and the extension of Ilmanen's regularization to the capillarity. |
| title | Existence of weak mean curvature flow with prescribed contact angle via elliptic regularization |
| topic | Differential Geometry Analysis of PDEs 53E10 (primary), 28A75, 35K75 |
| url | https://arxiv.org/abs/2410.12283 |