A Convergence result for a Stefan problem with phase relaxation
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929338198261760 |
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| author | Recupero, Vincenzo |
| author_facet | Recupero, Vincenzo |
| contents | In this paper we consider the model of phase relaxation introduced in [22], where an asymptotic analysis is performed toward an integral formulation of the Stefan problem when the relaxation parameter approaches zero. Assuming the natural physical assumption that the initial condition of the phase is constrained, but taking more general boundary conditions, we prove that the solution of this relaxed model converges in a stronger way to the solution of the classical weak Stefan problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05570 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Convergence result for a Stefan problem with phase relaxation Recupero, Vincenzo Analysis of PDEs In this paper we consider the model of phase relaxation introduced in [22], where an asymptotic analysis is performed toward an integral formulation of the Stefan problem when the relaxation parameter approaches zero. Assuming the natural physical assumption that the initial condition of the phase is constrained, but taking more general boundary conditions, we prove that the solution of this relaxed model converges in a stronger way to the solution of the classical weak Stefan problem. |
| title | A Convergence result for a Stefan problem with phase relaxation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.05570 |