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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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1134-z |
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doaj-8da9cf7ae0c24f5783f9c689b050ffc02020-11-25T02:12:15ZengSpringerOpenBoundary Value Problems1687-27702019-01-012019111810.1186/s13661-019-1134-zSolutions to a phase-field model of sea ice growthYangxin Tang0Department of Mathematics, Shanghai UniversityAbstract 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.http://link.springer.com/article/10.1186/s13661-019-1134-zPhase-field modelSea iceWeak solutionGlobal attractorLarge time behavior |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yangxin Tang |
| spellingShingle |
Yangxin Tang Solutions to a phase-field model of sea ice growth Boundary Value Problems Phase-field model Sea ice Weak solution Global attractor Large time behavior |
| 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 |
| series |
Boundary Value Problems |
| issn |
1687-2770 |
| publishDate |
2019-01-01 |
| 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. |
| topic |
Phase-field model Sea ice Weak solution Global attractor Large time behavior |
| url |
http://link.springer.com/article/10.1186/s13661-019-1134-z |
| work_keys_str_mv |
AT yangxintang solutionstoaphasefieldmodelofseaicegrowth |
| _version_ |
1724910507323817984 |