干的无粘大气环流方程组混合问题的适定性  

Well-Posedness of Mixed Problem for Dry Inviscid Atmospheric Circulation Equations

作　　者：宋承燕[1] 何幼桦[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2007年第6期726-731,共6页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(90411006)

摘　　要：该文针对干的无粘大气环流方程组的混合问题,讨论其底部边界的混合问题.所采用的分析方法是将该混合问题分解成两部分:一个纯Cauchy问题和一组积分表达式.首先证明了这样的分解与原问题同解,然后用分层方法讨论相应Cauchy问题的适定性,从而得到了原混合问题的适定的充要条件.最后给出了构造适定混合问题解析解的计算方法.The mixed problem with lower bound for dry inviscid atmospheric circulation equations is discussed. We decompose the problem into two parts： a pure Cauchy problem and a group of integration expressions. We show that such decomposition gives the same solution with the original problem, and discuss well-posedness of the Cauchy problem based on the stratification theory. A necessary and sufficient condition for well-posedness of the mixed original problem mixed problem is then obtained. A method for obtaining an analytic solution to the well-posed is given.

关 键 词：大气环流方程 混合问题 分层理论 适定性 

分 类 号：O175.29[理学—数学]