大气、海洋无穷维动力系统

1. Nonlinear Equations of the Atmospheric and the Oceanic Motions

1.1 Basic Equations of the Atmospheric and the Oceanic Motions

1.1.1 Basic Equations of the Atmosphere

1.1.2 Basic Equations of the Oceans

1.2 Equations of the Atmosphere and the Oceans in the Sphere Coordinate Frame

1.2.1 Equations of the Atmosphere in the Sphere Coor-dinate Frame

1.2.2 Equations of the Oceans in the Sphere Coordinate Frame

1.3 Equations of the Atmosphere in Atmospheric Pressure Coordinate Frame

1.4 Equations of the Atmosphere in the Topography Coordi-nate Frame

1.5 Equations of the Atmosphere and the Oceans in Local Rectangular Coordinate Frame under/%Plane Approxima-tion

1.6 Equations of the Atmosphere and the Oceans under Sati-fication Approximation

1.7 Boundary Conditions

1.7.1 The Lower Boundary Conditions of the Atmosphere

1.7.2 The Upper Boundary Conditions of the Atmosphere

1.7.3 The Boundary Conditions of the Oceans

2. Some Quasi-Geostrophic Models

2.1 The Barotropic Model and the Two-Dimensional Quasi-Geostrophic Equation

2.1.1 The Barotropic Model

2.1.2 The Two-Dimensional Quasi-Geostrophic Equation

2.2 Three-Dimensional Quasi-Geostrophic Equation

2.3 The Multi-Layer Quasi-Geostrophic Model

2.4 The Surface Quasi-Geostrophic Equation

2.4.1 Introduction of Surface Quasi-Geostrophic Equation

2.4.2 Some Results of Surface Quasi-Geostrophic Equation

3. Well-Posedness and Global Attractors of the Primitive Equations

4. Random Dynamical Systems of Atmosphere and Ocean

5. Stability and Instability Theory

References

郭院士研究无穷维动力系统多年，取得了一些重大研究成果。大气、海洋无穷维动力系统是大气和海洋动力学理论研究的重要内容之一。《大气海洋无穷维动力系统（英文版）》共分五章，主要介绍了该系统中重要的新近研究成果。