Solutions to a multi-phase model of sea ice growth

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 solution...

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Bibliographic Details
Published in:Open Mathematics
Main Authors: Tang Yangxin, Zheng Lin, Luan Liping
Format: Article in Journal/Newspaper
Language:English
Published: De Gruyter 2021
Subjects:
nonlinear differential equations
existence of solutions
evolution of phase boundaries
global attractor
large time behavior
35k51
74n20
Mathematics
QA1-939
Sea ice
Online Access:https://doi.org/10.1515/math-2021-0133
https://doaj.org/article/a8c63b7ae94042f093a40d9c2aa34d81
Description
Summary: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.

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