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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Bibliographic Details
Published in:Boundary Value Problems
Main Author: Yangxin Tang
Format: Article in Journal/Newspaper
Language:English
Published: SpringerOpen 2019
Subjects:
Phase-field model
Sea ice
Weak solution
Global attractor
Large time behavior
Analysis
QA299.6-433
Online Access:https://doi.org/10.1186/s13661-019-1134-z
https://doaj.org/article/8da9cf7ae0c24f5783f9c689b050ffc0
id ftdoajarticles:oai:doaj.org/article:8da9cf7ae0c24f5783f9c689b050ffc0
record_format openpolar
spelling 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
_version_ 1766190285925122048

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