THE CISK MECHANISM AND THE INERTIAL GRAVITATIONAL WAVES IN SHEAR FLOW

By using the symmetric equations of atmospheric dynamics in y-z plane with vertical and horizontal shear of wind, the nonlinear ordinary differential equation is derived with the method of travelling wave.Its stability is discussed by using the theory of nonlinear stability and the KDV equation is solved. The effects of linear CISK, nonlinear CISK, inertial stability and vertical shear of wind on the amplitude and the width of isolated inertial gravitational wave are discussed. In order to understand deeply the formation and development of meso-scale synoptic systems, such as the squall line, MCC, the cold surge of Asia high and typhoon, the factors of development of the isolated inertial gravity wave are analysed.

CISK影响下的线性和非线性惯性重力波

利用板对称的大气动力学方程组，考虑线性和非线性两种ＣＩＳＫ加热过程，由行波法和非线性常微分方程定性理论，讨论了ＣＩＳＫ影响下的线性和非线性惯性重力波的稳定性，以及ＣＩＳＫ对惯性重力孤波强度和宽度的影响．结果指出，线性ＣＩＳＫ既影响孤立波的强度，又影响孤立波的宽度，而非线性ＣＩＳＫ只影响孤立波的强度．

切变流中的CISK机制与惯性重力波

利用板对称、有切变的大气动力学方程组，由行波法导出非线性常微分方程，通过非线性稳定性理论讨论方程的稳定性，求解了ＫＤＶ方程，并讨论了线性ＣＩＳＫ、非线性ＣＩＳＫ、惯性稳定度参数和大气风速垂直切变对惯性重力孤波强度和宽度的影响，目的是通过了解影响惯性重力孤波发展的因子，更深入地理解低纬中尺度天气系统（飑线、ＭＣＣ、冷涌。

热源强迫的非线性惯性重力内波及其应用

利用动力学分析中的相平面方法,由z坐标系下的非绝热大气运动方程组导出了与非线性惯性重力内波有关的KdV方程,然后利用直接积分法得到两类有天气意义的孤立波解。初步建立了孤立波解与高原低涡的联系,进一步从理论上论证了高原低涡具有与热带气旋类低涡类似的涡眼和暖心结构的特征。