Analysis of weak solutions of a phase-field model for sea ice evolution
This paper is devoted to the study of the well-posedness of an initial-boundary value problem (IVBP) for a three-dimensional two-phase system, which is a phase-field model consisting of two coupled parabolic equations and is used to describe the solid–liquid phase transition of sea ice growth. First...
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ftdoajarticles:oai:doaj.org/article:de40a3e9c5454e789dda9d7a0f4e3eda 2023-06-11T04:16:33+02:00 Analysis of weak solutions of a phase-field model for sea ice evolution Md Akram Hossain Peicheng Zhu Li Ma 2023-05-01T00:00:00Z https://doi.org/10.1016/j.aej.2023.03.009 https://doaj.org/article/de40a3e9c5454e789dda9d7a0f4e3eda EN eng Elsevier http://www.sciencedirect.com/science/article/pii/S1110016823001722 https://doaj.org/toc/1110-0168 1110-0168 doi:10.1016/j.aej.2023.03.009 https://doaj.org/article/de40a3e9c5454e789dda9d7a0f4e3eda Alexandria Engineering Journal, Vol 70, Iss , Pp 641-649 (2023) 35A01 35K15 74N25 Engineering (General). Civil engineering (General) TA1-2040 article 2023 ftdoajarticles https://doi.org/10.1016/j.aej.2023.03.009 2023-05-07T00:32:41Z This paper is devoted to the study of the well-posedness of an initial-boundary value problem (IVBP) for a three-dimensional two-phase system, which is a phase-field model consisting of two coupled parabolic equations and is used to describe the solid–liquid phase transition of sea ice growth. First, we give the derivation of this model. Then, we prove the global-in-time existence and uniqueness of the weak solutions to the IBVP by means of the Galerkin approximation argument and the energy method. In addition, we establish a maximum principle that guarantees the model is physically consistent. Finally, the regularity of weak solutions is also established. Article in Journal/Newspaper Sea ice Directory of Open Access Journals: DOAJ Articles Alexandria Engineering Journal 70 641 649 |
institution |
Open Polar |
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Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
35A01 35K15 74N25 Engineering (General). Civil engineering (General) TA1-2040 |
spellingShingle |
35A01 35K15 74N25 Engineering (General). Civil engineering (General) TA1-2040 Md Akram Hossain Peicheng Zhu Li Ma Analysis of weak solutions of a phase-field model for sea ice evolution |
topic_facet |
35A01 35K15 74N25 Engineering (General). Civil engineering (General) TA1-2040 |
description |
This paper is devoted to the study of the well-posedness of an initial-boundary value problem (IVBP) for a three-dimensional two-phase system, which is a phase-field model consisting of two coupled parabolic equations and is used to describe the solid–liquid phase transition of sea ice growth. First, we give the derivation of this model. Then, we prove the global-in-time existence and uniqueness of the weak solutions to the IBVP by means of the Galerkin approximation argument and the energy method. In addition, we establish a maximum principle that guarantees the model is physically consistent. Finally, the regularity of weak solutions is also established. |
format |
Article in Journal/Newspaper |
author |
Md Akram Hossain Peicheng Zhu Li Ma |
author_facet |
Md Akram Hossain Peicheng Zhu Li Ma |
author_sort |
Md Akram Hossain |
title |
Analysis of weak solutions of a phase-field model for sea ice evolution |
title_short |
Analysis of weak solutions of a phase-field model for sea ice evolution |
title_full |
Analysis of weak solutions of a phase-field model for sea ice evolution |
title_fullStr |
Analysis of weak solutions of a phase-field model for sea ice evolution |
title_full_unstemmed |
Analysis of weak solutions of a phase-field model for sea ice evolution |
title_sort |
analysis of weak solutions of a phase-field model for sea ice evolution |
publisher |
Elsevier |
publishDate |
2023 |
url |
https://doi.org/10.1016/j.aej.2023.03.009 https://doaj.org/article/de40a3e9c5454e789dda9d7a0f4e3eda |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Alexandria Engineering Journal, Vol 70, Iss , Pp 641-649 (2023) |
op_relation |
http://www.sciencedirect.com/science/article/pii/S1110016823001722 https://doaj.org/toc/1110-0168 1110-0168 doi:10.1016/j.aej.2023.03.009 https://doaj.org/article/de40a3e9c5454e789dda9d7a0f4e3eda |
op_doi |
https://doi.org/10.1016/j.aej.2023.03.009 |
container_title |
Alexandria Engineering Journal |
container_volume |
70 |
container_start_page |
641 |
op_container_end_page |
649 |
_version_ |
1768374912232194048 |