A mathematical model of sea thermodynamics, developed at the Institute of Numerical Mathematics of the Russian Academy of Sciences, is considered. A problem of variational assimilation of sea surface temperature data is studied with allowance for observational error covariance matrices. Based on variational assimilation of satellite observation data, an inverse problem of restoring the heat flux on the sea surface is solved. The sensitivity of some functionals to observation data in the variational assimilation problem is investigated, and the results of numerical experiments with the model applied to Baltic Sea dynamics are presented.

中文翻译：

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海洋热力学模型的变分同化问题中函数对观测数据的敏感性

考虑了由俄罗斯科学院数值数学研究所开发的海洋热力学数学模型。研究海面温度数据的变化同化问题，同时考虑到观测误差协方差矩阵。基于卫星观测数据的变分同化，解决了恢复海面热通量的反问题。研究了变分同化问题中某些函数对观测数据的敏感性，并给出了将该模型应用于波罗的海动力学的数值实验结果。