Solutions to a multi-phase model of sea ice growth
The multi-phase systems have found their applications in many fields. We shall apply this approach to investigate the multi-phase dynamics of sea ice growth. In this paper, the weak solution existence and uniqueness of parabolic differential equations are proved. Then large-time behavior of solution...
| Published in: | Open Mathematics |
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| Main Authors: | , , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
De Gruyter
2021
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| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2021-0133 https://doaj.org/article/a8c63b7ae94042f093a40d9c2aa34d81 |
| _version_ | 1821705499986362368 |
|---|---|
| author | Tang Yangxin Zheng Lin Luan Liping |
| author_facet | Tang Yangxin Zheng Lin Luan Liping |
| author_sort | Tang Yangxin |
| collection | Directory of Open Access Journals: DOAJ Articles |
| container_issue | 1 |
| container_start_page | 1801 |
| container_title | Open Mathematics |
| container_volume | 19 |
| description | The multi-phase systems have found their applications in many fields. We shall apply this approach to investigate the multi-phase dynamics of sea ice growth. In this paper, the weak solution existence and uniqueness of parabolic differential equations are proved. Then large-time behavior of solutions is studied, and also the existence of the global attractor is proved. The key tool in this article is the energy method. Our existence proof is only in one dimension. |
| format | Article in Journal/Newspaper |
| genre | Sea ice |
| genre_facet | Sea ice |
| id | ftdoajarticles:oai:doaj.org/article:a8c63b7ae94042f093a40d9c2aa34d81 |
| institution | Open Polar |
| language | English |
| op_collection_id | ftdoajarticles |
| op_container_end_page | 1819 |
| op_doi | https://doi.org/10.1515/math-2021-0133 |
| op_relation | https://doi.org/10.1515/math-2021-0133 https://doaj.org/toc/2391-5455 2391-5455 doi:10.1515/math-2021-0133 https://doaj.org/article/a8c63b7ae94042f093a40d9c2aa34d81 |
| op_source | Open Mathematics, Vol 19, Iss 1, Pp 1801-1819 (2021) |
| publishDate | 2021 |
| publisher | De Gruyter |
| record_format | openpolar |
| spelling | ftdoajarticles:oai:doaj.org/article:a8c63b7ae94042f093a40d9c2aa34d81 2025-01-17T00:43:32+00:00 Solutions to a multi-phase model of sea ice growth Tang Yangxin Zheng Lin Luan Liping 2021-12-01T00:00:00Z https://doi.org/10.1515/math-2021-0133 https://doaj.org/article/a8c63b7ae94042f093a40d9c2aa34d81 EN eng De Gruyter https://doi.org/10.1515/math-2021-0133 https://doaj.org/toc/2391-5455 2391-5455 doi:10.1515/math-2021-0133 https://doaj.org/article/a8c63b7ae94042f093a40d9c2aa34d81 Open Mathematics, Vol 19, Iss 1, Pp 1801-1819 (2021) nonlinear differential equations existence of solutions evolution of phase boundaries global attractor large time behavior 35k51 74n20 Mathematics QA1-939 article 2021 ftdoajarticles https://doi.org/10.1515/math-2021-0133 2022-12-31T15:36:16Z The multi-phase systems have found their applications in many fields. We shall apply this approach to investigate the multi-phase dynamics of sea ice growth. In this paper, the weak solution existence and uniqueness of parabolic differential equations are proved. Then large-time behavior of solutions is studied, and also the existence of the global attractor is proved. The key tool in this article is the energy method. Our existence proof is only in one dimension. Article in Journal/Newspaper Sea ice Directory of Open Access Journals: DOAJ Articles Open Mathematics 19 1 1801 1819 |
| spellingShingle | nonlinear differential equations existence of solutions evolution of phase boundaries global attractor large time behavior 35k51 74n20 Mathematics QA1-939 Tang Yangxin Zheng Lin Luan Liping Solutions to a multi-phase model of sea ice growth |
| title | Solutions to a multi-phase model of sea ice growth |
| title_full | Solutions to a multi-phase model of sea ice growth |
| title_fullStr | Solutions to a multi-phase model of sea ice growth |
| title_full_unstemmed | Solutions to a multi-phase model of sea ice growth |
| title_short | Solutions to a multi-phase model of sea ice growth |
| title_sort | solutions to a multi-phase model of sea ice growth |
| topic | nonlinear differential equations existence of solutions evolution of phase boundaries global attractor large time behavior 35k51 74n20 Mathematics QA1-939 |
| topic_facet | nonlinear differential equations existence of solutions evolution of phase boundaries global attractor large time behavior 35k51 74n20 Mathematics QA1-939 |
| url | https://doi.org/10.1515/math-2021-0133 https://doaj.org/article/a8c63b7ae94042f093a40d9c2aa34d81 |