论文标题
原始方程与海冰动力学的相互作用
Interaction of the primitive equations with sea ice dynamics
论文作者
论文摘要
本文建立了局部强大的良好性和全球强大的良好，接近恒定平衡的模型，将海洋和大气动力学原始方程与Hibler的粘性塑料海冰模型结合在一起。为了治疗耦合条件，开发了一种涉及静液压dirichlet和dirichlet to-neumann操作员的方法。首次研究了后一个操作员的映射特性，并且至关重要，这表明与线性化耦合系统相关的操作员承认，在适当的$ \ \ \ mathrm {l}^q $ -spaces上，有界的$ \ mathcal {h}^\ infty $ -calculus。准线性方法允许然后获得上述强大的良好性结果。
This article establishes local strong well-posedness and global strong well-posedness close to constant equilibria of a model coupling the primitive equations of ocean and atmospheric dynamics with Hibler's viscous-plastic sea ice model. In order to treat the coupling conditions, an approach involving the hydrostatic Dirichlet and Dirichlet-to-Neumann operator is developed. Mapping properties of the latter operators are investigated for the first time and are of central importance for showing that the operator associated with the linearized coupled system admits a bounded $\mathcal{H}^\infty$-calculus on suitable $\mathrm{L}^q$-spaces. Quasilinear methods allow then to obtain the strong well-posedeness results described above.
