Abstract:

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 original mixed problem is then obtained. A method for obtaining an analytic solution to the wellposed mixed problem is given.

Key words: mixed problem, stratification theory, wellposedness

atmospheric circulation equation