Solutions to a phase-field model of sea ice growth

Abstract

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.

Keywords

• Phase-field model
• Sea ice
• Weak solution
• Global attractor
• Large time behavior