Rigorous Analysis and Dynamics of Hibler's sea ice model

Abstract

This article develops for the first time a rigorous analysis of Hibler's model of sea ice dynamics. Identifying Hibler's ice stress as a quasilinear second order operator and regarding Hibler's model as a quasilinear evolution equation, it is shown that Hibler's coupled sea ice model, i.e., the model coupling velocity, thickness and compactness of sea ice, is locally strongly well-posed within the $L_q$-setting and also globally strongly well-posed for initial data close to constant equilibria.

References in corpus (2)

• Nonlinear threshold behavior during the loss of Arctic sea ice
• Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids

Cited by in corpus (5)

• Well-posedness of Hibler's dynamical sea-ice model
• Rigorous analysis of the interaction problem of sea ice with a rigid body
• Time periodic solutions to Hibler's sea ice model
• Interaction of geophysical flows with sea ice dynamics
• Well-posedness of Hibler's parabolic-hyperbolic sea ice model