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Volume 8 Issue 4

Oct.  1991

Article Contents

New Developments on Existence and Uniqueness of Solutions to Some Models in Atmospheric Dynamics


doi: 10.1007/BF02919262

  • This survey is concerned with the new developments on existence and uniqueness of solutions of some basic mod-els in atmospheric dynamics, such as two-and three-dimensional quasi-geostrophic models and three-dimensional balanced model. The main aim of this paper is to introduce some results about the global and local (with respect to time) existence of solutions given by the authors in recent years, but others' important contributions and the literature on this subject are also quoted. We discuss briefly the relationships among the existence and uniqueness, physical in-stability and computational instability. In the appendixes, some key mathematical techniques in obtaining our results are presented, which are of vital importance to other problems in geophysical fluid dynamics as well.
  • [1] Huang Sixun, Zhang Ming, 1993: Study on Atmospheric Travelling Wave Solutions and Review of Its Present Developments, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 435-446.  doi: 10.1007/BF02656968
    [2] Li Guoping, Lu Jinghua, 1996: Some Possible Solutions of Nonlinear Internal Inertial Gravity Wave Equations in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 244-252.  doi: 10.1007/BF02656866
    [3] Ji Zhongzhen, Wang Bin, 1995: Some Splitting Methods for Equations of Geophysical Fluid Dynamics, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 109-113.  doi: 10.1007/BF02661293
    [4] R. Dhar, C. Guha-Roy, D. K. Sinha, 1991: On a Class of Solitary Wave Solutions of Atmospheric Nonlinear Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 357-362.  doi: 10.1007/BF02919618
    [5] Tan Zhemin, Wu Rongsheng, 1994: Helicity Dynamics of Atmospheric Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 175-188.  doi: 10.1007/BF02666544
    [6] Huang Sixun, 1996: Inversion and Ill-Posed Problem Solutions in Atmospheric Remote Sensing, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 489-504.  doi: 10.1007/BF03342039
    [7] P. VINAY KUMAR, Gopa DUTTA, M.V. RATNAM, E. KRISHNA, B. BAPIRAJU, B. Venkateswara RAO, Salauddin MOHAMMAD, 2016: Impact of Cyclone Nilam on Tropical Lower Atmospheric Dynamics, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 955-968.  doi: 10.1007/s00376-016-5285-x
    [8] Li Zhijin, Ji Liren, 1996: Internal Dynamics of the Generation of Atmospheric Teleconnection Patterns, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 19-32.  doi: 10.1007/BF02657025
    [9] Feng ZHANG, Yadong LEI, Jia-Ren YAN, Jian-Qi ZHAO, Jiangnan LI, Qiudan DAI, 2017: A New Parameterization of Canopy Radiative Transfer for Land Surface Radiation Models, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 613-622.  doi: 10.1007/s00376-016-6139-2
    [10] DIAO Yina, FENG Guolin, LIU Shida, LIU Shikuo, LUO Dehai, HUANG Sixun, LU Weisong, CHOU Jifan, 2004: Review of the Study of Nonlinear Atmospheric Dynamics in China (1999-2002), ADVANCES IN ATMOSPHERIC SCIENCES, 21, 399-406.  doi: 10.1007/BF02915567
    [11] DING Ruiqiang, FENG Guolin, LIU Shida, LIU Shikuo, HUANG Sixun, FU Zuntao, 2007: Nonlinear Atmospheric and Climate Dynamics in China (2003--2006): A Review, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 1077-1085.  doi: 10.1007/s00376-007-1077-7
    [12] S. PANCHEV, T. SPASSOVA, 2005: Simple General Atmospheric Circulation and Climate Models with Memory, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 765-769.  doi: 10.1007/BF02918720
    [13] K. D. Prasad, S. V. Singh, 1988: LARGE-SCALE FEATURES OF THE INDIAN SUMMER MON-SOON RAINFALL AND THEIR ASSOCIATION WITH SOME OCEANIC AND ATMOSPHERIC VARIABLES, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 499-513.  doi: 10.1007/BF02656794
    [14] A. Mary Selvam, J. S. Pethkar, M. K. Kulkarni, 1995: Some Unique Characteristics of Atmospheric Interannual Variability in Rainfall Time Series over India and the United Kingdom, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 377-385.  doi: 10.1007/BF02656987
    [15] ZHOU Feifan, DING Ruiqiang, FENG Guolin, FU Zuntao, DUAN Wansuo, 2012: Progress in the Study of Nonlinear Atmospheric Dynamics and Predictability of Weather and Climate in China (2007--2011), ADVANCES IN ATMOSPHERIC SCIENCES, 29, 1048-1062.  doi: 10.1007/s00376-012-1204-y
    [16] Zhijie KANG, Bo QIU, Zheng XIANG, Ye LIU, Zhiqiang LIN, Weidong GUO, 2022: Improving Simulations of Vegetation Dynamics over the Tibetan Plateau: Role of Atmospheric Forcing Data and Spatial Resolution, ADVANCES IN ATMOSPHERIC SCIENCES, 39, 1115-1132.  doi: 10.1007/s00376-022-1426-6
    [17] Yun Qian, Hailong Wang, Chuanfeng Zhao, Chun Zhao, Siyu Chen, Xiao-Ming Hu, Shichang Kang, 2022: Understanding Third Pole Atmospheric Dynamics and Land Surface Processes and Their Associations with the Cryosphere, Air Quality, and Climate Change, ADVANCES IN ATMOSPHERIC SCIENCES, 39, 1017-1020.  doi: 10.1007/s00376-022-2004-7
    [18] ZHANG Xuanze, ZHENG Xiaogu, YANG Chi, and LUO San, 2013: A New Weighting Function for Estimating Microwave Sounding Unit Channel 4 Temperature Trends Simulated by CMIP5 Climate Models, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 779-789.  doi: 10.1007/s00376-013-2152-x
    [19] Lin Zhenshan, Zhu Yanyu, Deng Ziwang, 1995: Experiments of Reconstructing Discrete Atmospheric Dynamic Models from Data (I), ADVANCES IN ATMOSPHERIC SCIENCES, 12, 121-125.  doi: 10.1007/BF02661295
    [20] Shi Guangyu, Qu Yanni, 1986: EFFECTS OF RADIATION MODELS ON THE CALCULATION OF ATMOSPHERIC INFRARED COOLING RATES, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 227-237.  doi: 10.1007/BF02682556

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Manuscript History

Manuscript received: 10 October 1991
Manuscript revised: 10 October 1991
通讯作者: 陈斌, bchen63@163.com
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New Developments on Existence and Uniqueness of Solutions to Some Models in Atmospheric Dynamics

  • 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100080,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100080

Abstract: This survey is concerned with the new developments on existence and uniqueness of solutions of some basic mod-els in atmospheric dynamics, such as two-and three-dimensional quasi-geostrophic models and three-dimensional balanced model. The main aim of this paper is to introduce some results about the global and local (with respect to time) existence of solutions given by the authors in recent years, but others' important contributions and the literature on this subject are also quoted. We discuss briefly the relationships among the existence and uniqueness, physical in-stability and computational instability. In the appendixes, some key mathematical techniques in obtaining our results are presented, which are of vital importance to other problems in geophysical fluid dynamics as well.

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