地球系统模式的研发和应用是当前国际上地球科学尤其是全球变化研究的热点问题。在地球系统模式中，海气耦合模式不仅是基础的核心框架，同时也是决定地球系统模式性能的关键组成部分。目前关于地球系统模式中海气耦合模式的研究主要集中在物理过程的参数化研发和改进，以及利用模式进行模拟评估和预测，而对模式数学和物理学本身的整体特性和规律研究关注不够，特别是对海气耦合模式的适定性理论研究甚少。本项目拟基于原始方程适定性理论的相关研究成果，以中国科学院地球系统模式CAS-ESM为平台，利用能量估计方法，重点研究CAS-ESM中海气耦合模式整体弱解的稳定性，整体强解的存在唯一性以及整体吸引子的存在性等科学问题。从而为海气耦合模式乃至地球系统模式的数学理论研究和模式的改进提供理论依据和技术指导，进而使我国自主研制的地球系统模式CAS-ESM得到进一步的完善和发展。

The research and application of the Earth System Models is a hot issue in the earth science, especially in the study of global change currently. The coupled ocean-atmosphere models is not only the core framework of the Earth System Models, but also the key component to determine the performance of the Earth System Models. At present, the research of the coupled ocean-atmosphere models focuses on the development and improvement of parameterization scheme of some physical processes, as well as the simulation evaluation and prediction. However, there has been very little attention to the mathematical and physical properties of models, especially to the well-posedness theories of the coupled ocean-atmosphere models. Based on the theoretical results of primitive equation and the well-posedness theory of IAP-AGCM, using the method of energy estimation, the stability of weak solutions, the existence and uniqueness of a global strong solution and the existence of a universal attractor will be demonstrated for the coupled ocean-atmosphere models of CAS-ESM in this project. These well-posedness theories will provide theory evidence and technical guidance for the improvement and development of the coupled ocean-atmosphere models, and also provide theoretical basis and research ideas for the mathematical research of CAS-ESM.