Solutions to a multi-phase model of sea ice growth
Abstract 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...
Published in: | Open Mathematics |
---|---|
Main Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Walter de Gruyter GmbH
2021
|
Subjects: | |
Online Access: | http://dx.doi.org/10.1515/math-2021-0133 https://www.degruyter.com/document/doi/10.1515/math-2021-0133/xml https://www.degruyter.com/document/doi/10.1515/math-2021-0133/pdf |
id |
crdegruyter:10.1515/math-2021-0133 |
---|---|
record_format |
openpolar |
spelling |
crdegruyter:10.1515/math-2021-0133 2024-09-09T20:07:08+00:00 Solutions to a multi-phase model of sea ice growth Tang, Yangxin Zheng, Lin Luan, Liping 2021 http://dx.doi.org/10.1515/math-2021-0133 https://www.degruyter.com/document/doi/10.1515/math-2021-0133/xml https://www.degruyter.com/document/doi/10.1515/math-2021-0133/pdf en eng Walter de Gruyter GmbH http://creativecommons.org/licenses/by/4.0 Open Mathematics volume 19, issue 1, page 1801-1819 ISSN 2391-5455 journal-article 2021 crdegruyter https://doi.org/10.1515/math-2021-0133 2024-07-29T04:11:16Z Abstract 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 De Gruyter Open Mathematics 19 1 1801 1819 |
institution |
Open Polar |
collection |
De Gruyter |
op_collection_id |
crdegruyter |
language |
English |
description |
Abstract 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 |
author |
Tang, Yangxin Zheng, Lin Luan, Liping |
spellingShingle |
Tang, Yangxin Zheng, Lin Luan, Liping Solutions to a multi-phase model of sea ice growth |
author_facet |
Tang, Yangxin Zheng, Lin Luan, Liping |
author_sort |
Tang, Yangxin |
title |
Solutions to a multi-phase model of sea ice growth |
title_short |
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_sort |
solutions to a multi-phase model of sea ice growth |
publisher |
Walter de Gruyter GmbH |
publishDate |
2021 |
url |
http://dx.doi.org/10.1515/math-2021-0133 https://www.degruyter.com/document/doi/10.1515/math-2021-0133/xml https://www.degruyter.com/document/doi/10.1515/math-2021-0133/pdf |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Open Mathematics volume 19, issue 1, page 1801-1819 ISSN 2391-5455 |
op_rights |
http://creativecommons.org/licenses/by/4.0 |
op_doi |
https://doi.org/10.1515/math-2021-0133 |
container_title |
Open Mathematics |
container_volume |
19 |
container_issue |
1 |
container_start_page |
1801 |
op_container_end_page |
1819 |
_version_ |
1809939815175553024 |