Solutions to a phase-field model of sea ice growth
Abstract We shall apply the phase-field method to investigate the dynamics of sea ice growth. The model consists of two parabolic equations. The existence and uniqueness of weak solutions to an initial-boundary value problem of this model is proved. Then the regularity, large-time behavior of soluti...
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ftdoajarticles:oai:doaj.org/article:8da9cf7ae0c24f5783f9c689b050ffc0 2023-05-15T18:16:35+02:00 Solutions to a phase-field model of sea ice growth Yangxin Tang 2019-01-01T00:00:00Z https://doi.org/10.1186/s13661-019-1134-z https://doaj.org/article/8da9cf7ae0c24f5783f9c689b050ffc0 EN eng SpringerOpen http://link.springer.com/article/10.1186/s13661-019-1134-z https://doaj.org/toc/1687-2770 doi:10.1186/s13661-019-1134-z 1687-2770 https://doaj.org/article/8da9cf7ae0c24f5783f9c689b050ffc0 Boundary Value Problems, Vol 2019, Iss 1, Pp 1-18 (2019) Phase-field model Sea ice Weak solution Global attractor Large time behavior Analysis QA299.6-433 article 2019 ftdoajarticles https://doi.org/10.1186/s13661-019-1134-z 2022-12-31T15:19:23Z Abstract We shall apply the phase-field method to investigate the dynamics of sea ice growth. The model consists of two parabolic equations. The existence and uniqueness of weak solutions to an initial-boundary value problem of this model is proved. Then the regularity, large-time behavior of solutions are studied, also the existence of global attractor is proved. The main technique in this article is energy method. Our existence proof is only valid in one space dimension. Article in Journal/Newspaper Sea ice Directory of Open Access Journals: DOAJ Articles Boundary Value Problems 2019 1 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Phase-field model Sea ice Weak solution Global attractor Large time behavior Analysis QA299.6-433 |
spellingShingle |
Phase-field model Sea ice Weak solution Global attractor Large time behavior Analysis QA299.6-433 Yangxin Tang Solutions to a phase-field model of sea ice growth |
topic_facet |
Phase-field model Sea ice Weak solution Global attractor Large time behavior Analysis QA299.6-433 |
description |
Abstract We shall apply the phase-field method to investigate the dynamics of sea ice growth. The model consists of two parabolic equations. The existence and uniqueness of weak solutions to an initial-boundary value problem of this model is proved. Then the regularity, large-time behavior of solutions are studied, also the existence of global attractor is proved. The main technique in this article is energy method. Our existence proof is only valid in one space dimension. |
format |
Article in Journal/Newspaper |
author |
Yangxin Tang |
author_facet |
Yangxin Tang |
author_sort |
Yangxin Tang |
title |
Solutions to a phase-field model of sea ice growth |
title_short |
Solutions to a phase-field model of sea ice growth |
title_full |
Solutions to a phase-field model of sea ice growth |
title_fullStr |
Solutions to a phase-field model of sea ice growth |
title_full_unstemmed |
Solutions to a phase-field model of sea ice growth |
title_sort |
solutions to a phase-field model of sea ice growth |
publisher |
SpringerOpen |
publishDate |
2019 |
url |
https://doi.org/10.1186/s13661-019-1134-z https://doaj.org/article/8da9cf7ae0c24f5783f9c689b050ffc0 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-18 (2019) |
op_relation |
http://link.springer.com/article/10.1186/s13661-019-1134-z https://doaj.org/toc/1687-2770 doi:10.1186/s13661-019-1134-z 1687-2770 https://doaj.org/article/8da9cf7ae0c24f5783f9c689b050ffc0 |
op_doi |
https://doi.org/10.1186/s13661-019-1134-z |
container_title |
Boundary Value Problems |
container_volume |
2019 |
container_issue |
1 |
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1766190285925122048 |