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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.01625 |
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| _version_ | 1866913221556830208 |
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| author | Hilhorst, Danielle Roscani, Sabrina Rybka, Piotr |
| author_facet | Hilhorst, Danielle Roscani, Sabrina Rybka, Piotr |
| contents | We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary. We construct the unique self-similar solution, and show that starting from arbitrary initial data, solution orbits converge to the self-similar solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01625 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile Hilhorst, Danielle Roscani, Sabrina Rybka, Piotr Analysis of PDEs 35B40 35R35 35C06 80A22 We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary. We construct the unique self-similar solution, and show that starting from arbitrary initial data, solution orbits converge to the self-similar solution. |
| title | Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile |
| topic | Analysis of PDEs 35B40 35R35 35C06 80A22 |
| url | https://arxiv.org/abs/2402.01625 |