On The Properties Of Atmospheric Circulation Equation And Analytic Solution Computation

Based on stratification theory, begin with the barotropic primitive equation, some theoretical problems of atmospheric equations are discussed, including the well posedness of their initial value problem, boundary value problem and mixed problem. The methods and the programs of how to get the analytic solution of a well-posed problem are also presented. In this thesis, the barotropic primitive equation under the rectangular coordinate system and atmospheric circulation equation under p coordinate system are mainly researched. I obtain following results: -1. Barotropic primitive equations' (2, k -1) order (k 1) canonical stratification is:2. Atmospheric circulation equations'(3,k-1)order (k 2) canonical stratification is:3. Atmospheric circulation equations' boundary value problem in p direction is always well posed.4. The sufficient and necessary condition for a well-posed general initial value problem of atmospheric circulation equations is: 0, in which g = g(x, y, p) is an initial hypersurface.5. Obtained the sufficient and necessary conditions for well-posed lateral boundary value problems of atmospheric circulation equations.6. Discussed the existence and uniqueness of the analytic solution of the atmospheric circulation equations' mixed problem.7. Compare the properties of atmospheric circulation equations in z and p coordinate system and their initial value problems.8. Present the computer program for finding an analytic solution of well-posed barotropic primitive equations' general initial value problem.9. Present the computer program for finding an analytic solution of well-posed atmospheric circulation equations' general initial value problem.10. Present the computer program for finding formal solution of atmospheric circulation equations' mixed problem.