| A STUDY ON THE EXCITATION, ESTABLISHMENT AND TRANSITION OF MULTIPLE EQUILIBRIUM STATES PRODUCED BY NEARLY RESONANT THERMAL FORCING——PART Ⅰ: ASYMPTOTIC SOLUTIONS OF MULTIPLE EQUILIBRIUM STATES |
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| 引用本文： | 秦建春,朱抱真.A STUDY ON THE EXCITATION, ESTABLISHMENT AND TRANSITION OF MULTIPLE EQUILIBRIUM STATES PRODUCED BY NEARLY RESONANT THERMAL FORCING——PART Ⅰ: ASYMPTOTIC SOLUTIONS OF MULTIPLE EQUILIBRIUM STATES[J].大气科学进展,1986(3). |
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| 作者姓名： | 秦建春 朱抱真 |
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| 作者单位： | Institute of Atmospheric Physics，Academia Sinica，Beijing，Institute of Atmospheric Physics，Academia Sinica，Beijing |
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| 摘 要： | A two-layer quasi-geostrophic baroclinic model in a narrow, longitudinally periodic channel on a β-plane is used, which involves near-resonant thermal forcing, frictional dissipation and a uniformly sheared basic current. By means of the multi-scale technique, a system of simplified differential equations of disturbances due to the steady thermal-forcing waves projected on the X-T plane is derived, which contains the nonlinear interactions between forced waves and free waves. The asymptotic solutions of the equilibrium states of these equations are analytically obtained by a singular perturbation method. The results show that these multiple equilibrium state (MES) solutions can exist in a wide range of the parameters used.
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