Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.19443 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915761485774848 |
|---|---|
| author | Agrawal, Siddhant Patel, Neel |
| author_facet | Agrawal, Siddhant Patel, Neel |
| contents | We consider the Hele-Shaw problem with surface tension in an infinite domain. We prove the existence of a family of self-similar solutions. At $t=0$, these solutions have a corner of angle $θ$ with $ 0 < |θ- π| \ll 1$, and for $t>0$, the solutions are smooth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19443 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-Similar Solutions to the Hele-Shaw Problem with Surface Tension Agrawal, Siddhant Patel, Neel Analysis of PDEs We consider the Hele-Shaw problem with surface tension in an infinite domain. We prove the existence of a family of self-similar solutions. At $t=0$, these solutions have a corner of angle $θ$ with $ 0 < |θ- π| \ll 1$, and for $t>0$, the solutions are smooth. |
| title | Self-Similar Solutions to the Hele-Shaw Problem with Surface Tension |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.19443 |