带有滞弹性大气运动方程组初值问题的解析分析

Analytic study of the initial value problem for the equations set of atmospheric motion with anelasticity

利用分层理论的方法在可微函数类中给出了带有滞弹性大气运动方程组初值问题适定的充要条件,写出了局部解意义下适定问题解析解的表达式;根据适定的充要条件判断出在超平面{t=0}上初值问题是不适定的,并以实例做了验证,同时,提出了修改不适定结论的意见.

Based on the method provided by stratification theory, the necessary and sufficient condition to be wellposed for the initial value problem of the equations set of atmospheric motion with anelasticity is discussed and given in the differentiable function classes, and the computation formula of analytical solution to the well-posed problem was also presented in the sense of local solution;According to the necessary and sufficient condition, it can be so concluded that the initial value problem on hyper surface { t = 0 } was ill-posed, which is further illustrated by an example, and the corresponding suggestion of being modified is proposed.