一类简化大气运动方程组初值问题的适定性

Well-Posedness in Initial-Value Problems of Simplified Atmospheric Motion Equations

该文以分层理论为基础给出了一类简化大气运动方程组初值问题适定的充要条件,以及初值问题不适定的一个必要条件,并给出了在t=0时初值问题的不适定例子.

In this paper, based on the stratification theory, the necessary and sufficient condition for the well-posedness of a kind of simplified atmospheric motion equations' initial values is given. A (necessary) condition for the ill-posedness of its initial value problem is also given. An example of ill-(posedness) of the initial value problem (on hyper plane t=0) is presented.