发表机构
University of Duisburg-Essen（杜伊斯堡-埃森大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究未正则化Hibler海冰模型动量方程的弱解，在退化系数下证明时间离散问题的存在唯一性，并通过Rothe逼近得到全局弱解，同时给出唯一性和测度结构结果。
AI 中文摘要
我们研究了具有非负冰质量和冰强度（两者都可能消失）的解耦未正则化Hibler海冰模型的动量方程。海洋拖曳力提供强制性，而应力定律和混合边界条件通过一个凸耗散泛函来编码。我们证明了时间离散问题的存在性、唯一性和稳定性，并重构了一个容许应力。在质量满足单边增长条件下，Rothe逼近为时间依赖系数生成了全局弱变分解。当冰强度不依赖于时间时，弱解是唯一的。对于空间Lipschitz连续的冰强度，有限耗散还给出了加权变形的局部测度结构以及加权散度负部的全局界。
英文摘要
We study the momentum equation of the decoupled unregularised Hibler sea-ice model with non-negative ice mass and ice strength, both of which may vanish. The ocean drag provides coercivity, while the stress law and mixed boundary conditions are encoded by a convex dissipation functional. We prove existence, uniqueness and stability for the time-discrete problem and reconstruct an admissible stress. A Rothe approximation yields global weak variational solutions for time-dependent coefficients under a one-sided growth condition on the mass. Weak solutions are unique when the ice strength is independent of time. For spatially Lipschitz ice strength, finite dissipation also yields a local measure structure of the weighted deformation and a global bound on the negative part of the weighted divergence.
