非线性海冰热力学系统的区域分解和最优控制

Domain Decomposition and Parameter Identification of the Temperature Field in Nonlinear System of the Sea Ice

根据雪层、冰层与水层海冰热力系统抛物型方程的极大不可微性,采用非重叠区域分解,以及分布参数系统的参数辨识和最优控制理论,建立了海冰温度场最优控制模型,并证明了该系统最优解的存在性.

In view of the problems on solving parabolic equation of sea ice thermodynamic system of snow layer, ice layer and water layer with non-differentiability, optimal control is discussed in this paper by non- overlapping domain decomposition method, The optimal solutions in the optimal control system are proued.