中文摘要：

在沿着一个使倾向的盘子和在成层的媒介沉浸的一个垂直盘子的快活边界层的稳定性之间的关系理论上并且数字地被学习。精力稳定性的特征值问题与下 exponentials 的方法被解决。骚乱精力被发现能成长到 11.62 倍大于为 P _r = 0.72 Grashof 数字什么时候在批评 Grashof 之间，精力稳定性和线性稳定性数。我们证明与一个加权的精力方法，垂直快活边界层的基本流动对有限振幅的 streamwise 独立的骚乱稳定。

英文摘要：

The relationship between stabilities of the buoyancy boundary layers along an inclined plate and a vertical plate immersed in a stratified medium is studied theoretically and numerically. The eigenvalue problem of energy stability is solved with the method of descending exponentials. The disturbance energy is found to be able to grow to 11.62 times as large as the initial disturbance energy for Pr = 0.72 when the Grashof number is between the critical Grashof numbers of the energy stability and the linear stability. We prove that, with a weighted energy method, the basic flow of the vertical buoyancy boundary layer is stable to finite-amplitude streamwise-independent disturbances.