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
Description
Summary: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.

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