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Global analysis theory of climate system and its applications

chinese Science Bulletin 2003年第10期48卷 1034-1039页

作者： li jianping1,2.& chou jifan2.3.1. lasg, {2. of {3.pheric Physics, chinese academy of sciences, beijing 10002., china 2. Department of {3.pheric sciences, Lanzhou University, Lanzhou 73.000, china 3. Training Center for china Meteorological Administration, beijing 100081, china Department of atmospheric sciences Lanzhou University Lanzhou 730000 China lasg Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 China

The idea and main theoretical results of the global analysis theory of climate system are briefly summarized in this paper. A theorem on the global behavior of climate system is given, i.e. there exists a global attractor in the dynamical equations of climate, any state of climate system will be evolved into the global attractor as time increases, indicating the nonlinear adjustment process of climate system to external forcing. The different effects of external forcing, dissipation and nonlinearity on the long-term behavior of solutions are pointed out, and some main applications of the global analysis theory are also introduced. Especially, three applications, the adjustment and evolution processes of climate, the principle of numerical model design and the optimally numerical integration, are discussed.

关键词：整体分析理论气侯体系应用不定性计算法则气侯科学数字模型

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Computational stability of the forced dissipative nonlinear {2.pheric equations

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chinese Science Bulletin 1999年第10期44卷 949-952页

作者： li jianping and {2. {3. lasg , institute of atmospheric Physics , chinese academy of sciences , beijing 100080, china Department of atmospheric sciences , Lanzhou University , Lanzhou 73.000, china beijing Meteorological College, beijing 100081, china lasg Institute of Atmospheric Physics Chinese Academy of Sciences Beijing China Department of atmospheric sciences Lanzhou University Lanzhou China beijing Meteorological College Beijing China

A new concept of computational quasi-stability (CQS) is introduced to study the computational stability (CS) of the forced dissipative nonlinear (FDN) evolution equations. Based on the concept, the CQS criterion of difference scheme of FDN {3.pheric equations is obtained. So it provides the theoretical basis for designing the computational stable difference scheme of FDN {3.pheric equations.

关键词： computational stability (CS) computational quasi-stability (CQS) operator equation difference scheme forced dissipative nonlinear (FDN) equations.

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Operator constraint principle for simplifying atmospheric dynamical equations

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chinese Science Bulletin 2001年第12期46卷 1053-1056页

作者： li jianping & {2. {3.1. National Key Laboratory of atmospheric sciences and Geophysical Fluid Dynamics (lasg), institute of atmospheric Physics, chinese academy of sciences, beijing 10002., china 2. Department of atmospheric sciences, Lanzhou University, Lanzhou 73.000, china National Key Laboratory of atmospheric sciences and Geophysical Fluid Dynamics ({2.) Institute of Atmospheric Physics Chinese Academy of Sciences Department of atmospheric sciences Lanzhou University

Based on the qualitative theory of atmospheric dynamical equations, a new method for simplifying equations, the operator constraint principle, is presented. The general rule of the method and its mathematical strictness are discussed. Moreover, the way that how to use the method to simplify equations rationally and how to get the simplified equations with harmonious and consistent dynamics is given.

关键词： simplification operator equation operator constraint principle.

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